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k in (-oo:+oo)
6-((1/2)*k)-(4*k) = 87/22 // - 87/22
6-((1/2)*k)-(4*k)-(87/22) = 0
(-1/2)*k-4*k-87/22+6 = 0
45/22-9/2*k = 0 // - 45/22
-9/2*k = -45/22 // : -9/2
k = -45/22/(-9/2)
k = 5/11
k = 5/11
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