$$ \begin{aligned} \frac{a}{2} &= a-\frac{6}{3}a-9-\frac{1}{3}&& \text{multiply ALL terms by } \color{blue}{ 6 }. \\[1 em]6 \cdot \frac{a}{2} &= 6a-6 \cdot \frac{6}{3}a-6\cdot9-6\cdot\frac{1}{3}&& \text{cancel out the denominators} \\[1 em]3a &= 6a-12a-54-2&& \text{simplify right side} \\[1 em]3a &= -6a-56&& \text{move the $ \color{blue}{ -6a } $ to the left side} \\[1 em]3a+6a &= -56&& \text{simplify left side} \\[1 em]9a &= -56&& \text{ divide both sides by $ 9 $ } \\[1 em]a &= -\frac{56}{9}&& \\[1 em] \end{aligned} $$

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