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k in (-oo:+oo)
4/5-(5*k) = 119/55 // - 119/55
4/5-(5*k)-(119/55) = 0
4/5-5*k-119/55 = 0
-5*k-15/11 = 0 // + 15/11
-5*k = 15/11 // : -5
k = 15/11/(-5)
k = -3/11
k = -3/11
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