Det nye system på arbejdet er nemt nok at bruge, når man først forstår det.

Because system is a neuter noun in Danish: et system.

Danish singular nouns are usually either:

• en-words (common gender)
• et-words (neuter)

Since system is an et-word, the definite article in front of the adjective has to be det:

• et system = a system
• det nye system = the new system

If the noun were an en-word, you would use den instead.

Because the noun phrase is definite: det nye system = the new system.

In Danish, adjectives usually take:

• -t with singular neuter nouns in the indefinite form: et nyt system = a new system
• -e in the definite form: det nye system = the new system

So:

• et nyt system
• det nye system

Even though system is neuter, the adjective becomes nye here because the whole phrase is definite.

Because nem is agreeing with system, which is a singular neuter noun.

As a predicate adjective after er, Danish still shows agreement:

• en computer er nem = a computer is easy
• et system er nemt = a system is easy

So in this sentence:

• system is neuter
• therefore nem becomes nemt

Here nok means something like enough, fairly, or easy enough.

So nemt nok at bruge means:

• easy enough to use
• fairly easy to use

It softens the statement a bit. It does not necessarily mean a strict measurable amount of ease. It often sounds more natural and less absolute than just nemt at bruge.

Compare:

• Det er nemt at bruge = It is easy to use
• Det er nemt nok at bruge = It is easy enough to use / fairly easy to use

Also, be aware that nok can mean other things in other contexts, such as probably, but not here.

Because bruge is an infinitive here, and Danish normally uses at before the infinitive, much like English uses to.

So:

• at bruge = to use

The structure is:

• er nemt nok at bruge = is easy enough to use

This is a very common pattern in Danish:

• Det er svært at forstå = It is difficult to understand
• Den er rar at arbejde med = It is nice to work with
• Systemet er nemt at bruge = The system is easy to use

Here på arbejdet means at work or in the workplace.

It describes which system we are talking about:

• det nye system på arbejdet = the new system at work

A few useful points:

• arbejdet is the definite form of arbejde
• the definite article is attached to the noun, so arbejdet literally means the work/job

In this kind of expression, Danish often uses på where English uses at:

• på arbejdet = at work

So this phrase is not about physically being on top of work; it is just the normal Danish expression.

Yes, here man means a general you, one, or people in general.

So:

• når man først forstår det means something like once you understand it or once one understands it

This is very common in Danish when the speaker means people in general, not one specific person.

Compare:

• Man lærer hurtigt = You learn quickly / One learns quickly
• Når man først forstår det = Once you understand it

English often uses you in this general sense, while Danish very often uses man.

Here først does not mean first in the sense of before everything else. It means something more like:

• once
• once you finally
• once you get to the point where

So:

• når man først forstår det = once you understand it / once you’ve got the hang of it

This use of først often suggests that something may seem difficult at the beginning, but becomes easier after the key point of understanding is reached.

Because forstår needs an object, and that object is it.

The final det refers back to det nye system:

• forstår det = understands it

So the sentence first introduces the system, and later refers back to it with det.

This is very natural in Danish, just as in English:

• The system is easy enough to use once you understand it

Because når man først forstår det is a subordinate clause.

In main clauses, Danish usually has verb-second word order:

• Man forstår det først senere
• Nu forstår man det

But after a subordinating conjunction like når, the word order is usually:

• conjunction + subject + sentence adverb/adverbial + verb + object

So:

• når
  • man
    • først
      • forstår
        • det

That is why forstår comes after man først here.

In this sentence, når is most naturally understood as once or when you get to the point where.

A very natural English translation is:

• once you understand it

If you translate it mechanically as when, the meaning is still understandable, but English often prefers once in this kind of sentence because it better captures the idea that understanding comes first, and then the system becomes easy to use.

So:

• når man først forstår det = once you understand it

Yes, you could say:

• Det nye system på arbejdet er nemt nok at bruge, når du først forstår det.

That would mean:

• the system is easy enough to use once you understand it

The difference is:

• man = general statement, people in general
• du = more direct, aimed at one person

In many contexts, man sounds more neutral and general, which is why it works well here.