$$ \begin{aligned} 283-z &= 15z+11&& \text{move the $ \color{blue}{ 15z } $ to the left side and $ \color{blue}{ 283 }$ to the right} \\[1 em]-z-15z &= 11-283&& \text{simplify left and right hand side} \\[1 em]-16z &= -272&& \text{ divide both sides by $ -16 $ } \\[1 em]z &= \frac{-272}{-16}&& \\[1 em]z &= 17&& \\[1 em] \end{aligned} $$
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