$$ \begin{aligned} -4+\frac{z}{2} &= 16&& \text{multiply ALL terms by } \color{blue}{ 2 }. \\[1 em]-2\cdot4+2 \cdot \frac{z}{2} &= 2\cdot16&& \text{cancel out the denominators} \\[1 em]-8+z &= 32&& \text{ move -8 to the right } \\[1 em]z &= 32+8&& \\[1 em]z &= 40&& \\[1 em]z &= 40&& \\[1 em] \end{aligned} $$
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