Question
$$z\cdot2+9 = 8z$$
Answer
$$ z = \dfrac{3}{2} $$
Explanation
$$ \begin{aligned} z\cdot2+9 &= 8z&& \text{move the $ \color{blue}{ 8z } $ to the left side and $ \color{blue}{ 9 }$ to the right} \\[1 em]2z-8z &= -9&& \text{simplify left side} \\[1 em]-6z &= -9&& \text{ divide both sides by $ -6 $ } \\[1 em]z &= \frac{-9}{-6}&& \\[1 em]z &= \frac{3}{2}&& \\[1 em] \end{aligned} $$
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