Prove the following: a. (a equiv b(bmod n)) implies (b equiv a(bmod n)) b. (a equiv b(bmod

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Prove the following:

a. \(a \equiv b(\bmod n)\) implies \(b \equiv a(\bmod n)\)

b. \(a \equiv b(\bmod n)\) and \(b \equiv c(\bmod n)\) imply \(a \equiv c(\bmod n)\)

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