# How do you solve 4(2r+8)=88 using the distributive property?

Sep 9, 2016

Distribute $4 \left(2 r + 8\right) = 88$ to $8 r + 32 = 88$ and solve.

#### Explanation:

Let's look at what the distributive property says first.

$a \left(b + c\right) = a b + a c$
It says we can distribute a coefficient outside parenthesis amongst the terms inside.

We see the same pattern with this equation,
$4 \left(2 r + 8\right) = 88$
where $4$ is the outside coefficient, and $2 r$ and $8$ are the inside terms.

Therefore, we can distribute that equation as,
$4 \left(2 r + 8\right) = 8 r + 32 = 88$

We can then subtract 32 from both sides,
$8 r = 56$
then divide 8 from both sides to reach,
$r = 7$
which is our answer. $\square$