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Show That If A, B, K and M Are Integers k1,m2, and ab(modm), then kakb(modm)k \geq 1 , m \geq 2 , \text { and } a \equiv b ( \bmod m ) \text {, then } k a \equiv k b ( \bmod m )

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Show that if a, b, k and m are integers such that k1,m2, and ab(modm), then kakb(modm)k \geq 1 , m \geq 2 , \text { and } a \equiv b ( \bmod m ) \text {, then } k a \equiv k b ( \bmod m )


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