$$\frac{3}{4}(t-6) = 18$$

$$ \begin{aligned} \frac{3}{4}(t-6) &= 18&& \text{simplify left side} \\[1 em]\frac{3t-18}{4} &= 18&& \text{multiply ALL terms by } \color{blue}{ 4 }. \\[1 em]4 \cdot \frac{3t-18}{4} &= 4\cdot18&& \text{cancel out the denominators} \\[1 em]3t-18 &= 72&& \text{ move -18 to the right } \\[1 em]3t &= 72+18&& \\[1 em]3t &= 90&& \text{ divide both sides by $ 3 $ } \\[1 em]t &= \frac{90}{3}&& \\[1 em]t &= 30&& \\[1 em] \end{aligned} $$

This page was created using