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k in (-oo:+oo)
5*k+2*k+1/2 = 83/12 // - 83/12
5*k+2*k+1/2-(83/12) = 0
5*k+2*k+1/2-83/12 = 0
7*k-77/12 = 0 // + 77/12
7*k = 77/12 // : 7
k = 77/12/7
k = 11/12
k = 11/12
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