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k in (-oo:+oo)
k+1/9 = (4/7)*k+157/441 // - (4/7)*k+157/441
k-((4/7)*k)+1/9-(157/441) = 0
k+(-4/7)*k+1/9-157/441 = 0
3/7*k-12/49 = 0 // + 12/49
3/7*k = 12/49 // : 3/7
k = 12/49/3/7
k = 4/7
k = 4/7
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