$$-9v+45 = -4(v-5)$$

$$ \begin{aligned} -9v+45 &= -4(v-5)&& \text{simplify right side} \\[1 em]-9v+45 &= -(4v-20)&& \\[1 em]-9v+45 &= -4v+20&& \text{move the $ \color{blue}{ -4v } $ to the left side and $ \color{blue}{ 45 }$ to the right} \\[1 em]-9v+4v &= 20-45&& \text{simplify left and right hand side} \\[1 em]-5v &= -25&& \text{ divide both sides by $ -5 $ } \\[1 em]v &= \frac{-25}{-5}&& \\[1 em]v &= 5&& \\[1 em] \end{aligned} $$

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