$$ \begin{aligned} 3v+39 &= -9(v+5)&& \text{simplify right side} \\[1 em]3v+39 &= -(9v+45)&& \\[1 em]3v+39 &= -9v-45&& \text{move the $ \color{blue}{ -9v } $ to the left side and $ \color{blue}{ 39 }$ to the right} \\[1 em]3v+9v &= -45-39&& \text{simplify left and right hand side} \\[1 em]12v &= -84&& \text{ divide both sides by $ 12 $ } \\[1 em]v &= -\frac{84}{12}&& \\[1 em]v &= -7&& \\[1 em] \end{aligned} $$

This page was created using