$$ \begin{aligned} \frac{3}{4}z+5 &= 11&& \text{multiply ALL terms by } \color{blue}{ 4 }. \\[1 em]4 \cdot \frac{3}{4}z+4\cdot5 &= 4\cdot11&& \text{cancel out the denominators} \\[1 em]3z+20 &= 44&& \text{ move 20 to the right } \\[1 em]3z &= 44-20&& \\[1 em]3z &= 24&& \text{ divide both sides by $ 3 $ } \\[1 em]z &= \frac{24}{3}&& \\[1 em]z &= 8&& \\[1 em] \end{aligned} $$

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