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n in (-oo:+oo)
(3/7)*n+10 = 43/7 // - 43/7
(3/7)*n-(43/7)+10 = 0
(3/7)*n-43/7+10 = 0
3/7*n+27/7 = 0 // - 27/7
3/7*n = -27/7 // : 3/7
n = -27/7/3/7
n = -9
n = -9
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