Question

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

Answer 1

Answer:

p=9

Step-by-step 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

Answer 2

Answer:

p=9

Step-by-step 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:

$6(2p+2)=120\\\frac{6(2p+2)}{6} =\frac{120}{6}$

$2p+2=120$

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!)

$2p=18\\\frac{2p}{2} =\frac{18}{2} \\p=9$

Have a good day! :)