Solve the given equation or indicate that there is no solution. (a) For which values of a

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Solve the given equation or indicate that there is no solution.

(a) For which values of a does x + a = 0 have a solution in Z5?
(b) For which values of a and b does x + a = b have a solution in Z6?
(c) For which values of a, b, and m does x + a = b have a solution in Zm?

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