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k in (-oo:+oo)
9-(3*k)-(3*k) = 43/3 // - 43/3
9-(3*k)-(3*k)-(43/3) = 0
9-3*k-3*k-43/3 = 0
-6*k-16/3 = 0 // + 16/3
-6*k = 16/3 // : -6
k = 16/3/(-6)
k = -8/9
k = -8/9
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