$$ \begin{aligned} g+7-(g+1) &= 0&& \text{simplify left side} \\[1 em]g+7-g-1 &= 0&& \\[1 em]g+7-g-1 &= 0&& \\[1 em]6 &= 0&& \\[1 em] \end{aligned} $$
Since the statement $ \color{red}{ 6 = 0 } $ is FALSE, we conclude that the equation has no solution.
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