Learn Dutch: Er wordt hier in de studio niet gegeten. - People do not eat here in the studio.

This is the impersonal passive voice. Dutch uses er wordt plus a past participle (like gegeten) to talk about a general rule or action without saying exactly who is doing it. English usually translates this as "People do not eat" or "Eating is not allowed".

Since "people" is plural, why is the verb singular (wordt) instead of plural (worden)?

In an impersonal passive sentence, the grammatical subject is the word er, which acts as a singular placeholder. Therefore, you always use the singular wordt, no matter how many people are implied to be doing the action.

Why is niet placed right before gegeten?

In Dutch, the negation word niet is placed as far to the end of the sentence as possible, but it must come before any verbs that are parked at the very end. Here, it correctly sits right before the past participle gegeten.

Where does the word gegeten come from?

Gegeten is the past participle of the irregular verb eten (to eat). Passive sentences are always built with a helper verb (like worden) and a past participle, even when talking about a present situation.