$$ \begin{aligned} 11(n-1)+35 &= 3n&& \text{simplify left side} \\[1 em]11n-11+35 &= 3n&& \\[1 em]11n+24 &= 3n&& \text{move the $ \color{blue}{ 3n } $ to the left side and $ \color{blue}{ 24 }$ to the right} \\[1 em]11n-3n &= -24&& \text{simplify left side} \\[1 em]8n &= -24&& \text{ divide both sides by $ 8 $ } \\[1 em]n &= -\frac{24}{8}&& \\[1 em]n &= -3&& \\[1 em] \end{aligned} $$

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