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k in (-oo:+oo)
117 = 6*k+4*k+7 // - 6*k+4*k+7
117-(6*k)-(4*k)-7 = 0
117-6*k-4*k-7 = 0
110-10*k = 0 // - 110
-10*k = -110 // : -10
k = -110/(-10)
k = 11
k = 11
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