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Prove, using induction, that any integer n ≥ 14 can be written as a sum of...

Prove, using induction, that any integer n ≥ 14 can be written as a sum of a non-negative integral multiple of 3 and a non-negative integral multiple of 8, i.e. for any n ≥ 14, there exist non-negative integers a and b such that n = 3a + 8b.

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