Question

A(c+b)=d solve for the variable c

Answer 1

`c=(d)/(a)-b`

Explanation:

a(c + b) = d

Distribute;

ac + ab = d

Subtract AB from both sides;

ac = d - ab

Divide both sides by A

`c=(d)/(a)-(ab)/(a)=(d)/(a)-b`

Answer 2

c =
`(d-ab)/(a)`

Explanation:

a(c+b) = d

(expand bracket)

ac + ab = d

(minus ab from both sides)

ac = d - ab

(divide everything by a to get c)

c =
`(d-ab)/(a)`