Question
$$3\cdot(2+v)-v = 6+2(v+1)$$
Answer
This equation has no solution.
Explanation
$$ \begin{aligned} 3\cdot(2+v)-v &= 6+2(v+1)&& \text{simplify left and right hand side} \\[1 em]6+3v-v &= 6+2v+2&& \\[1 em]2v+6 &= 2v+8&& \text{move the $ \color{blue}{ 2v } $ to the left side and $ \color{blue}{ 6 }$ to the right} \\[1 em]2v-2v &= 8-6&& \text{simplify left and right hand side} \\[1 em]2v-2v &= 2&& \\[1 em]0 &= 2&& \\[1 em] \end{aligned} $$
Since the statement $ \color{red}{ 0 = 2 } $ is FALSE, we conclude that the equation has no solution.
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