$$ \begin{aligned} 41 &= 12d-7&& \text{ swap the left and right side of the equation } \\[1 em]12d-7 &= 41&& \text{ move -7 to the right } \\[1 em]12d &= 41+7&& \\[1 em]12d &= 48&& \text{ divide both sides by $ 12 $ } \\[1 em]d &= \frac{48}{12}&& \\[1 em]d &= 4&& \\[1 em] \end{aligned} $$