$$ \begin{aligned} z+11z-6 &= 4(z+4)&& \text{simplify left and right hand side} \\[1 em]12z-6 &= 4z+16&& \text{move the $ \color{blue}{ 4z } $ to the left side and $ \color{blue}{ -6 }$ to the right} \\[1 em]12z-4z &= 16+6&& \text{simplify left and right hand side} \\[1 em]8z &= 22&& \text{ divide both sides by $ 8 $ } \\[1 em]z &= \frac{22}{8}&& \\[1 em]z &= \frac{11}{4}&& \\[1 em] \end{aligned} $$

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