Number Theory: An Integer that divides two Integers divides their Difference

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This short video presents a proof of that given an integer 'a' that divides two integers 'b' and 'c', then 'a' divides the differences between 'b' and 'c'. If a|b and a|c then a|(b - c).
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I searched everywhere for an example of this proof. Thanks so much for sharing this!

stephenpoanessa
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In a situation where a, b and c are integers, b|a and b|c, we are supposed to find b|(a-2c)

jeannettehiag
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Hello, thanks really for the help and could you help me please

jeannettehiag