$$ \begin{aligned} \frac{11}{18}+\frac{1}{6}a &= \frac{1}{3}a&& \text{multiply ALL terms by } \color{blue}{ 18 }. \\[1 em]18\cdot\frac{11}{18}+18\frac{1}{6}a &= 18 \cdot \frac{1}{3}a&& \text{cancel out the denominators} \\[1 em]11+3a &= 6a&& \text{move the $ \color{blue}{ 6a } $ to the left side and $ \color{blue}{ 11 }$ to the right} \\[1 em]3a-6a &= -11&& \text{simplify left side} \\[1 em]-3a &= -11&& \text{ divide both sides by $ -3 $ } \\[1 em]a &= \frac{-11}{-3}&& \\[1 em]a &= \frac{11}{3}&& \\[1 em] \end{aligned} $$

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