Question
$$4z+3 = 6+2z$$
Answer
$$ z = \dfrac{3}{2} $$
Explanation
$$ \begin{aligned} 4z+3 &= 6+2z&& \text{move the $ \color{blue}{ 2z } $ to the left side and $ \color{blue}{ 3 }$ to the right} \\[1 em]4z-2z &= 6-3&& \text{simplify left and right hand side} \\[1 em]2z &= 3&& \text{ divide both sides by $ 2 $ } \\[1 em]z &= \frac{3}{2}&& \\[1 em] \end{aligned} $$
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