$$ \begin{aligned} \frac{3}{a}-2 &= 0&& \text{multiply ALL terms by } \color{blue}{ a }. \\[1 em]a\cdot\frac{3}{a}-a\cdot2 &= a\cdot0&& \text{cancel out the denominators} \\[1 em]3-2a &= 0&& \text{ move the constants to the right } \\[1 em]-2a &= -3&& \text{ divide both sides by $ -2 $ } \\[1 em]a &= \frac{-3}{-2}&& \\[1 em]a &= \frac{3}{2}&& \\[1 em] \end{aligned} $$
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