Question

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

Answer 1

`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`