$$ \begin{aligned} 8r\cdot\frac{3}{2}+5 &= 0&& \text{multiply ALL terms by } \color{blue}{ 2 }. \\[1 em]2\cdot8r\cdot\frac{3}{2}+2\cdot5 &= 2\cdot0&& \text{cancel out the denominators} \\[1 em]24r+10 &= 0&& \text{ move the constants to the right } \\[1 em]24r &= -10&& \text{ divide both sides by $ 24 $ } \\[1 em]r &= -\frac{10}{24}&& \\[1 em]r &= -\frac{5}{12}&& \\[1 em] \end{aligned} $$

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