Question

A(c-b)=d solve for varible c

Answer 1

`a(c-b)=d\qquad\text{divide both sides by }\ a\\eq0\\\\c-b=(d)/(a)\qquad\text{add}\ b\ \text{to both sides}\\\\\boxed{c=(d)/(a)+b}`

Answer 2

`\text{c}=(d + ab)/(a)`

Explanation:

Remove the brackets.

ac - bc = d

Add bc to both sides

ac = d + bc

Divide by a

`(ac)/(a)=(d + ab)/(a)`

The "a"s cancel and you are left with the answer.

`\text{c}=(d + ab)/(a)` Answer