How to solve the problem 6(a+4)=36 with the distributive property.

Question

Use algebra and the distributive property to solve the problem 6(a+4)=36.

Answer 1

6(a+4) = 36

Use distributive property a(b+c) = ab+ac

 6(a)+6(4) =36

6a+24 = 36

Subtract 24 from each side.

6a+24-24 = 36-24

6a = 12

Divide to each side by 6.

6a/6 = 12/6

a = 2

Solution a = 2