$$ \begin{aligned} \frac{c}{5}-\frac{1}{5} &= \frac{4}{5}&& \text{multiply ALL terms by } \color{blue}{ 5 }. \\[1 em]5 \cdot \frac{c}{5}-5\cdot\frac{1}{5} &= 5\cdot\frac{4}{5}&& \text{cancel out the denominators} \\[1 em]c-1 &= 4&& \text{ move -1 to the right } \\[1 em]c &= 4+1&& \\[1 em]c &= 5&& \\[1 em]c &= 5&& \\[1 em] \end{aligned} $$
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