$$ \begin{aligned} 11k-18-7k &= -k+k-50&& \text{simplify left and right hand side} \\[1 em]4k-18 &= -k+k-50&& \\[1 em]4k-18 &= -50&& \text{ move -18 to the right } \\[1 em]4k &= -50+18&& \\[1 em]4k &= -32&& \text{ divide both sides by $ 4 $ } \\[1 em]k &= -\frac{32}{4}&& \\[1 em]k &= -8&& \\[1 em] \end{aligned} $$
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