$$ \begin{aligned} 1+15z+7 &= 92+z&& \text{simplify left and right hand side} \\[1 em]15z+8 &= z+92&& \text{move the $ \color{blue}{ z } $ to the left side and $ \color{blue}{ 8 }$ to the right} \\[1 em]15z-z &= 92-8&& \text{simplify left and right hand side} \\[1 em]14z &= 84&& \text{ divide both sides by $ 14 $ } \\[1 em]z &= \frac{84}{14}&& \\[1 em]z &= 6&& \\[1 em] \end{aligned} $$

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