Question
$$6d+1 = 15-d$$
Answer
$$ d = 2 $$
Explanation
$$ \begin{aligned} 6d+1 &= 15-d&& \text{move the $ \color{blue}{ -d } $ to the left side and $ \color{blue}{ 1 }$ to the right} \\[1 em]6d+d &= 15-1&& \text{simplify left and right hand side} \\[1 em]7d &= 14&& \text{ divide both sides by $ 7 $ } \\[1 em]d &= \frac{14}{7}&& \\[1 em]d &= 2&& \\[1 em] \end{aligned} $$
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