We're going out for pizza; then we'll go to Jerry's house to study. This is a compound sentence.
A compound sentence contains at least two independent clauses, which is the case here.
Independent clause no. 1: We're going out for pizza.
Independent clause no. 2: Then we'll go to Jerry's house to study.
A simple sentence would contain only one independent clause; a complex sentence would contain at least one dependent clause and one independent clause; a compound-complex sentence would contain at least two independent and dependent clauses.
Thus, This is a compound sentence
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