Question
$$-\frac{3}{7}z = -\frac{2}{9}$$
Answer
$$ z = \dfrac{14}{27} $$
Explanation
$$ \begin{aligned} -\frac{3}{7}z &= -\frac{2}{9}&& \text{multiply ALL terms by } \color{blue}{ 63 }. \\[1 em]-63 \cdot \frac{3}{7}z &= -63\cdot\frac{2}{9}&& \text{cancel out the denominators} \\[1 em]-27z &= -14&& \text{ divide both sides by $ -27 $ } \\[1 em]z &= \frac{-14}{-27}&& \\[1 em]z &= \frac{14}{27}&& \\[1 em] \end{aligned} $$
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