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Complete the following proof. Claim: Suppose a,b, and c are positive integers. Prove that ac divides bc if and only if a divides b. Proof:

Complete the following proof.

Claim: Suppose a,b, and c are positive integers. Prove that ac divides bc if and only if a divides b.

Proof: ac divides bc if and only if there is a positive integer k so that ack = bc if and only if c(ak b) = 0.

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