$$ \begin{aligned} 0 &= \frac{z}{2}&& \text{multiply ALL terms by } \color{blue}{ 2 }. \\[1 em]2\cdot0 &= 2 \cdot \frac{z}{2}&& \text{cancel out the denominators} \\[1 em]0 &= z&& \text{ swap the left and right side of the equation } \\[1 em]z &= 0&& \text{ divide both sides by $ 1 $ } \\[1 em]z &= \frac{0}{1}&& \\[1 em]z &= 0&& \\[1 em] \end{aligned} $$
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