Question
$$11n+23 = 6n-47$$
Answer
$$ n = -14 $$
Explanation
$$ \begin{aligned} 11n+23 &= 6n-47&& \text{move the $ \color{blue}{ 6n } $ to the left side and $ \color{blue}{ 23 }$ to the right} \\[1 em]11n-6n &= -47-23&& \text{simplify left and right hand side} \\[1 em]5n &= -70&& \text{ divide both sides by $ 5 $ } \\[1 em]n &= -\frac{70}{5}&& \\[1 em]n &= -14&& \\[1 em] \end{aligned} $$
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