We can actually deduce here that the correct subject-verb agreement will be: Each does homework every night before bed.
Subject-verb agreement actually refers to the grammatical concept that shows that the subject of a sentence must be in alignment with the main verb of that same sentence. This then follows that singular subject must align with singular verbs and while plural subjects must also align with plural verbs.
Thus, we see here that "Each" which is the singular subject must align with "does", a singular verb.
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