How do you solve #7p + 3( 8+ 8p ) = - 162#?

1 Answer
Apr 5, 2018

Answer:

#p = -6#

Here's how I did it:

Explanation:

#7p + 3(8 + 8p) = -162#

Let's look at #3(8 + 8p) = -162# first.
The first thing we want to do is use the distributive property, meaning "distribute" or multiply the value outside the parenthesis to everything inside it:
#3 * 8 = 24#

#3 * 8p = 24p#

and when we combine them we get #24 + 24p#. Now let's put it back into the equation:
#7p + 24 + 24p = -162#

Now let's simplify by adding #7p# and #24p#:
#31p + 24 = -162#

Then we subtract #24# from both sides of the equation:
#31p = -186#

Finally, we divide both sides by #31# to get the value of #p#:
#p = -6#