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