$$ \begin{aligned} 4(z+2) &= 16z&& \text{simplify left side} \\[1 em]4z+8 &= 16z&& \text{move the $ \color{blue}{ 16z } $ to the left side and $ \color{blue}{ 8 }$ to the right} \\[1 em]4z-16z &= -8&& \text{simplify left side} \\[1 em]-12z &= -8&& \text{ divide both sides by $ -12 $ } \\[1 em]z &= \frac{-8}{-12}&& \\[1 em]z &= \frac{2}{3}&& \\[1 em] \end{aligned} $$

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