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n in (-oo:+oo)
7*n+7 = 5*n+17 // - 5*n+17
7*n-(5*n)-17+7 = 0
7*n-5*n-17+7 = 0
2*n-10 = 0 // + 10
2*n = 10 // : 2
n = 10/2
n = 5
n = 5
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