Is the sentence compound, or is it simple with a compound verb?
samantha packed her luggage and cleaned her room before noon.
a. simple sentence with a compound verb
b. compound sentence

A compound sentence has two (or more) independent phrases, joined by a conjuction: here this is not a compound sentence, as it does not have two (independent) phrases.
Instead, it has a compound verb! (option a)

The verb is "packed (plus the object) and cleaned (plus the object).

The sentence is compound because there are two subjects and two predicates.  

A sentence basically has a subject, the object of the sentence or doer of the action and predicate, the verb, the adjective, etc. Sentence structures could be simple (one independent clause), compound (two independent clause with coordinating conjunction), complex (a subordinate & independent clause) and compound-complex sentences (subordinate & two independent clause). These include clauses, conjunctions, coherence and balance and even to the number of words you use in your subject and predicate. The benefit of complex or compound sentences is that it could give you more explanation on the subject or topic of the sentence. This gives you a much more understanding on what the sentence is trying to portray or to message to give.