$$50 = -\frac{c}{2}+43$$

$$ \begin{aligned} 50 &= -\frac{c}{2}+43&& \text{multiply ALL terms by } \color{blue}{ 2 }. \\[1 em]2\cdot50 &= -2 \cdot \frac{c}{2}+2\cdot43&& \text{cancel out the denominators} \\[1 em]100 &= -c+86&& \text{ swap the left and right side of the equation } \\[1 em]-c+86 &= 100&& \text{ move 86 to the right } \\[1 em]-c &= 100-86&& \\[1 em]-c &= 14&& \text{switch signs on both sides} \\[1 em]c &= -14&& \\[1 em] \end{aligned} $$

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