$$ \begin{aligned} 9 &= 7v-12&& \text{ swap the left and right side of the equation } \\[1 em]7v-12 &= 9&& \text{ move -12 to the right } \\[1 em]7v &= 9+12&& \\[1 em]7v &= 21&& \text{ divide both sides by $ 7 $ } \\[1 em]v &= \frac{21}{7}&& \\[1 em]v &= 3&& \\[1 em] \end{aligned} $$