$$ \begin{aligned} 2v+18 &= 16-4(v+7)&& \text{simplify right side} \\[1 em]2v+18 &= 16-(4v+28)&& \\[1 em]2v+18 &= 16-4v-28&& \\[1 em]2v+18 &= -4v-12&& \text{move the $ \color{blue}{ -4v } $ to the left side and $ \color{blue}{ 18 }$ to the right} \\[1 em]2v+4v &= -12-18&& \text{simplify left and right hand side} \\[1 em]6v &= -30&& \text{ divide both sides by $ 6 $ } \\[1 em]v &= -\frac{30}{6}&& \\[1 em]v &= -5&& \\[1 em] \end{aligned} $$

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