To solve for variable \(c\) in the equation \(a(c - b) = d\), you can follow these steps:
1. Distribute the \(a\) on the left side of the equation:
\[ ac - ab = d \]
2. Add \(ab\) to both sides to isolate the term with \(c\):
\[ ac = d + ab \]
3. Finally, divide both sides by \(a\) to solve for \(c\):
\[ c = \frac{d + ab}{a} \]
So, the solution for \(c\) is \(\frac{d + ab}{a}\).