chwisopyoreul chajeul gyeom yemaecheo-e iljjik gasseo.

취소표 is 취소 + 표.

• 취소 = cancellation
• 표 = ticket

So 취소표 means a ticket that became available again because someone canceled. In English, it can be understood as a canceled ticket, a returned ticket, or a ticket released by a cancellation. Depending on context, it can refer to one ticket or canceled tickets in general.

Not really in the sense of physically discovering something lost.

In this sentence, 찾다 means something more like:

• look for
• try to get
• check whether there is one available

So 취소표를 찾다 is a natural way to say look for a canceled ticket / see if any canceled tickets are available.

The pattern V-(으)ㄹ 겸 means something like:

• also with the purpose of ...
• while I’m at it
• as one of my reasons for ...
• killing two birds with one stone

So 취소표를 찾을 겸 means the speaker went early to the booking place also to see if they could get a canceled ticket.

It usually suggests that this is not the only purpose, but one purpose among related ones.

Because the grammar pattern is V-(으)ㄹ 겸.

Here:

• 찾다 → 찾을
• 찾을 겸 = with the intention of also looking for

The -ㄹ form here is not simple future tense. It is the form used before 겸 to express an intended action or purpose.

So 찾는 겸 would sound unnatural in this meaning.

They are similar, but the nuance is different.

• -려고 / -러: a direct purpose

  • 취소표를 찾으러 예매처에 갔어
    = I went to the ticket office to look for a canceled ticket.

• -ㄹ 겸: an added or secondary purpose, often while I’m at it

  • 취소표를 찾을 겸 예매처에 갔어
    = I went to the ticket office, also to check for a canceled ticket.

So 겸 feels less like a single clear goal and more like one reason among several.

Yes, very often it does.

겸 usually suggests that the action before it is combined with another reason or purpose. In this sentence, the speaker went early to the booking office, and looking for a canceled ticket was one of the reasons.

Korean does not always state the other purpose explicitly if it is obvious from context.

예매처 means the booking place/outlet/source.

• 예매 = advance reservation / booking
• 처 = place, source, office

So it can mean:

• ticket office
• booking outlet
• reservation counter
• seller/vendor where advance tickets are handled

In this sentence, because the verb is 갔어 = went, it most naturally refers to a physical place.

Because 가다 takes 에 for the destination.

• 예매처에 갔어 = went to the booking office

So 에 here is just the normal location/destination marker used with movement verbs like 가다.

That word order is very natural in Korean.

Korean often puts things like:

• purpose
• reason
• time
• place

before the main verb. So 취소표를 찾을 겸 comes first to set up why the speaker went.

A very literal breakdown is:

• 취소표를 찾을 겸 = also to look for a canceled ticket
• 예매처에 = to the booking office
• 일찍 = early
• 갔어 = went

갔어 is the casual informal past form of 가다.

So this sentence sounds like something you would say to:

• a friend
• someone younger
• yourself in a diary/thought

The polite version would be:

• 취소표를 찾을 겸 예매처에 일찍 갔어요.

Because Korean often omits the subject when it is already clear from context.

So even though there is no explicit I, English usually translates it as I went early... if the speaker is talking about themselves.

Depending on context, it could also mean he/she/they went early, but without extra context, I is a very natural guess.