$$ \begin{aligned} 1 &= \frac{v}{7}-2&& \text{multiply ALL terms by } \color{blue}{ 7 }. \\[1 em]7\cdot1 &= 7 \cdot \frac{v}{7}-7\cdot2&& \text{cancel out the denominators} \\[1 em]7 &= v-14&& \text{ swap the left and right side of the equation } \\[1 em]v-14 &= 7&& \text{ move -14 to the right } \\[1 em]v &= 7+14&& \\[1 em]v &= 21&& \\[1 em]v &= 21&& \\[1 em] \end{aligned} $$

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