$$ \begin{aligned} 2 \cdot \frac{c}{15} &= \frac{8}{8}&& \text{multiply ALL terms by } \color{blue}{ 120 }. \\[1 em]120\cdot2 \cdot \frac{c}{15} &= 120\cdot\frac{8}{8}&& \text{cancel out the denominators} \\[1 em]16c &= 120&& \text{ divide both sides by $ 16 $ } \\[1 em]c &= \frac{120}{16}&& \\[1 em]c &= \frac{15}{2}&& \\[1 em] \end{aligned} $$
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