Answer:
![c=(ab-d)/(a)](https://img.qammunity.org/2021/formulas/mathematics/high-school/s2hp8p728qnqq501pa38y6h36i357ufjrg.png)
Explanation:
So we are given the equation:
a(b - c) = d
and we are asked to solve for c. To solve for c, we much get the c by itself on one side of the equation and all of the non-c components on the other side.
a(b - c) = d
Distribute the a on the left side of the equation.
ab - ac = d
Subtract ab from both sides of the equation.
-ac = d - ab
Divide both sides of the equation by -a.
![c=(ab-d)/(a)](https://img.qammunity.org/2021/formulas/mathematics/high-school/s2hp8p728qnqq501pa38y6h36i357ufjrg.png)
And now we have solved for c.
I hope you find my answer and explanation to be helpful. Happy studying.