$$ \begin{aligned} \frac{3}{4}a-6 &= \frac{1}{4}&& \text{multiply ALL terms by } \color{blue}{ 4 }. \\[1 em]4 \cdot \frac{3}{4}a-4\cdot6 &= 4\cdot\frac{1}{4}&& \text{cancel out the denominators} \\[1 em]3a-24 &= 1&& \text{ move -24 to the right } \\[1 em]3a &= 1+24&& \\[1 em]3a &= 25&& \text{ divide both sides by $ 3 $ } \\[1 em]a &= \frac{25}{3}&& \\[1 em] \end{aligned} $$
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