$$ \begin{aligned} 18z+9 &= 298+z&& \text{move the $ \color{blue}{ z } $ to the left side and $ \color{blue}{ 9 }$ to the right} \\[1 em]18z-z &= 298-9&& \text{simplify left and right hand side} \\[1 em]17z &= 289&& \text{ divide both sides by $ 17 $ } \\[1 em]z &= \frac{289}{17}&& \\[1 em]z &= 17&& \\[1 em] \end{aligned} $$
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