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Prove or disprove each of the following statements: (a) For all integers a, a | 0....

Prove or disprove each of the following statements:

(a) For all integers a, a | 0.

(b) For all integers a, 0 | a.

(c) For all integers a, b, c, n, and m, if a | b and a | c, then a | (bn+cm).

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