$$ \begin{aligned} r+\frac{1}{3}-\frac{8}{5} &= \frac{22}{5}&& \text{multiply ALL terms by } \color{blue}{ 15 }. \\[1 em]15r+15\cdot\frac{1}{3}-15\cdot\frac{8}{5} &= 15\cdot\frac{22}{5}&& \text{cancel out the denominators} \\[1 em]15r+5-24 &= 66&& \text{simplify left side} \\[1 em]15r-19 &= 66&& \text{ move -19 to the right } \\[1 em]15r &= 66+19&& \\[1 em]15r &= 85&& \text{ divide both sides by $ 15 $ } \\[1 em]r &= \frac{85}{15}&& \\[1 em]r &= \frac{17}{3}&& \\[1 em] \end{aligned} $$

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