$$ \begin{aligned} \frac{v}{14}+2 &= 1&& \text{multiply ALL terms by } \color{blue}{ 14 }. \\[1 em]14 \cdot \frac{v}{14}+14\cdot2 &= 14\cdot1&& \text{cancel out the denominators} \\[1 em]v+28 &= 14&& \text{ move 28 to the right } \\[1 em]v &= 14-28&& \\[1 em]v &= -14&& \\[1 em]v &= -14&& \\[1 em] \end{aligned} $$
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