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

Apr 5, 2018

$p = - 6$

Here's how I did it:

#### Explanation:

$7 p + 3 \left(8 + 8 p\right) = - 162$

Let's look at $3 \left(8 + 8 p\right) = - 162$ 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:
$3 \cdot 8 = 24$

$3 \cdot 8 p = 24 p$

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

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

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

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