ppallaehan da-eume oseul osgeorie georeo dwoyo.

It is built from:

• 빨래하다 = to do the laundry / wash clothes
• 빨래한 = having done the laundry / laundry-done
• 다음에 = after, next

So 빨래한 다음에 literally means something like after doing the laundry or after the laundry is done.

A very natural English translation is just after washing the clothes or after doing the laundry.

Because 다음 is a noun, and the verb before it has to come in a modifying form.

Here, 하다 changes to 한 to modify 다음:

• 하다 → 한
• 빨래하다 → 빨래한
• 빨래한 다음에 = after doing the laundry

This is a very common pattern in Korean:

• 먹은 다음에 = after eating
• 간 다음에 = after going
• 끝난 다음에 = after it ends

So 빨래하다 다음에 is not grammatical, because the verb has not been changed into the form that can modify 다음.

Yes. 빨래를 한 다음에 is also correct.

The difference is mostly about how the action is packaged:

• 빨래한 다음에 treats 빨래하다 as one unit, a single verb meaning to do laundry
• 빨래를 한 다음에 separates it more clearly into 빨래
  • 하다

Both are natural, but 빨래하다 is such a common verb that Koreans often use it without explicitly inserting 를.

So:

• 빨래한 다음에 = very natural
• 빨래를 한 다음에 = also natural

Both can mean after.

• 빨래한 다음에
• 빨래한 후에

Both are correct, but there is a slight nuance:

• 다음에 often feels a bit more conversational and sequence-based: and then after that
• 후에 can sound a bit more formal or written

In everyday speech, 다음에 is very common.

You might also hear:

• 빨래하고 나서 = after doing the laundry

That is also very common in conversation.

Because the two 옷-related words have different jobs:

• 옷을 = clothes as the object
• 옷걸이에 = on the hanger / onto the hanger

And note that 옷걸이 is one word meaning clothes hanger or hanger.

So this is not really the same word repeated in the same role:

• 옷 = clothes
• 옷걸이 = hanger

The particles show the grammar clearly:

• 을 marks what is being hung
• 에 marks the place/target where it is hung

Here 에 marks the location or target where something is placed or attached.

So:

• 옷을 옷걸이에 걸다 = to hang clothes on a hanger

You can think of 에 here as similar to on, onto, or at, depending on the verb.

More examples:

• 벽에 걸다 = hang on the wall
• 문에 붙이다 = stick onto the door
• 침대에 눕다 = lie on the bed

So 옷걸이에 tells you where the clothes are being hung.

This is an important nuance.

• 걸어요 = hang it / hang it up
• 걸어 둬요 = hang it up and leave it that way / keep it hung up for later

The -아/어 두다 pattern means do something in advance or do something and leave it in that state.

So 걸어 둬요 suggests more than just the action of hanging. It implies:

• you hang the clothes
• and you leave them hanging
• often because that state is useful or intended

In this sentence, it can suggest something like:

• hang them up to dry
• hang them up so they stay neat
• hang them up and leave them there

This is why 걸어 둬요 feels more purposeful than just 걸어요.

둬요 comes from the verb 두다.

In this sentence:

• 걸어 두다 = to hang something and leave it that way

When conjugated politely:

• 걸어 두어요 → commonly contracted to 걸어 둬요

So 둬요 is just a shortened spoken form of 두어요.

This kind of contraction is very common in Korean:

• 두어요 → 둬요
• 보아요 → 봐요
• 주어요 → 줘요

So if you see 걸어 둬요, think of it as 걸어 두어요 in a more natural everyday form.

The standard analysis is:

• 걸어 = main verb part
• 두다 = auxiliary verb

So it is often written with a space:

• 걸어 둬요

In everyday writing, though, many people also write it 붙여서 as:

• 걸어둬요

Learners will most often see the spaced version in grammar explanations, because it makes the structure easier to recognize.

So for learning purposes, it is good to understand it as:

• 걸어 두다
• 걸어 둬요

It is the 해요체 polite style, which is very common in everyday Korean.

The dictionary form is:

• 걸어 두다

The polite present-style form is:

• 걸어 둬요

This style is polite but not formal-stiff. It is appropriate in many everyday situations.

If you changed the speech level:

• 걸어 둡니다 = more formal
• 걸어 둬 = casual, non-polite
• 걸어 두세요 = polite request/command: please hang it up and leave it there

Yes, most likely.

Korean often omits the subject when it is obvious from context. This sentence could imply:

• you hang the clothes up after washing them
• we hang the clothes up after washing them
• one hangs the clothes up after washing them

Without context, Korean does not force you to specify the subject the way English often does.

So the sentence sounds natural even with no explicit subject.

Yes, depending on context, it can be interpreted in different ways.

As a plain polite statement, it can mean something like:

• After doing the laundry, [we/you/I] hang the clothes on hangers and leave them there.

In the right context, it could also sound instructional, especially if someone is explaining a routine:

• After washing the clothes, hang them on hangers.

Korean often relies on context and intonation for this kind of distinction.

If someone wanted to make it more clearly a polite instruction, they might say:

• 빨래한 다음에 옷을 옷걸이에 걸어 두세요.

That more clearly means Please hang the clothes on hangers after washing them.

In this kind of sentence, yes: 걸다 means to hang something.

It is a transitive verb here, meaning it takes an object:

• 옷을 걸다 = hang clothes

This is different from 걸리다, which is often the intransitive counterpart:

• 옷이 걸리다 = the clothes get hung / are hanging

So:

• 걸다 = to hang something
• 걸리다 = to be hung / get caught / be 걸리다 in various contexts

In this sentence, 걸다 is used because someone is actively hanging the clothes.