$$ \begin{aligned} 6(5n-6)-10 &= 10-3n+10&& \text{simplify left and right hand side} \\[1 em]30n-36-10 &= -3n+20&& \\[1 em]30n-46 &= -3n+20&& \text{move the $ \color{blue}{ -3n } $ to the left side and $ \color{blue}{ -46 }$ to the right} \\[1 em]30n+3n &= 20+46&& \text{simplify left and right hand side} \\[1 em]33n &= 66&& \text{ divide both sides by $ 33 $ } \\[1 em]n &= \frac{66}{33}&& \\[1 em]n &= 2&& \\[1 em] \end{aligned} $$

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