$$ \begin{aligned} \frac{w}{3}-9 &= 18&& \text{multiply ALL terms by } \color{blue}{ 3 }. \\[1 em]3 \cdot \frac{w}{3}-3\cdot9 &= 3\cdot18&& \text{cancel out the denominators} \\[1 em]w-27 &= 54&& \text{ move -27 to the right } \\[1 em]w &= 54+27&& \\[1 em]w &= 81&& \\[1 em]w &= 81&& \\[1 em] \end{aligned} $$
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