$$ \begin{aligned} \frac{2a-12}{6} &= 4&& \text{multiply ALL terms by } \color{blue}{ 6 }. \\[1 em]6 \cdot \frac{2a-12}{6} &= 6\cdot4&& \text{cancel out the denominators} \\[1 em]2a-12 &= 24&& \text{ move -12 to the right } \\[1 em]2a &= 24+12&& \\[1 em]2a &= 36&& \text{ divide both sides by $ 2 $ } \\[1 em]a &= \frac{36}{2}&& \\[1 em]a &= 18&& \\[1 em] \end{aligned} $$

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