$$ \begin{aligned} \frac{c}{2}+45 &= 66&& \text{multiply ALL terms by } \color{blue}{ 2 }. \\[1 em]2 \cdot \frac{c}{2}+2\cdot45 &= 2\cdot66&& \text{cancel out the denominators} \\[1 em]c+90 &= 132&& \text{ move 90 to the right } \\[1 em]c &= 132-90&& \\[1 em]c &= 42&& \\[1 em]c &= 42&& \\[1 em] \end{aligned} $$
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