Question
$$4z+14 = 3z+1$$
Answer
$$ z = -13 $$
Explanation
$$ \begin{aligned} 4z+14 &= 3z+1&& \text{move the $ \color{blue}{ 3z } $ to the left side and $ \color{blue}{ 14 }$ to the right} \\[1 em]4z-3z &= 1-14&& \text{simplify left and right hand side} \\[1 em]z &= -13&& \\[1 em]z &= -13&& \\[1 em] \end{aligned} $$
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