# How do you solve 3(p+2)=18 using the distributive property?

Oct 2, 2016

The distributive property states that $a \left(b + c\right) = a \cdot b + a \cdot c$.

#### Explanation:

Let's use this in our equation:

$3 \left(p + 2\right) = 3 \cdot p + 3 \cdot 2 = 3 p + 6$

We now have $3 p + 6 = 18$.

Next, let's subtract 6 from each side to get $3 p = 12$. Now divide each side by 3 to get $p = 4$.