Question

Solve the equation 6(2p+2)=120

Answer 1

p=9

Explanation:

Here is the most simple way to solve:

Instead of distributing the 6 into the parenthesis, you can simply divide both sides by 6:

`6(2p+2)=120\\(6(2p+2))/(6) =(120)/(6)`

`2p+2=120`

Subtract each side by 2 to isolate the variable:

`2p+2=20\\2p+2-2=20-2`

`2p=18`

Divide both sides by 2 to have the coefficient of the variable be 1 (Because thats how we solve these kinds of equations!)

`2p=18\\(2p)/(2) =(18)/(2) \\p=9`

Have a good day! :)

Answer 2

p=9

Explanation:

6(2p+2)=120

6(2p)+6(2)=120

12p+12=120 1. subtract 12 on both sides

12p=108 2. divide 12 on both sides

p=9