# How do you solve 2(3a+2)=-8 using the distributive property?

Aug 31, 2016

The final answer will be $a = - 2$

#### Explanation:

First off, what you want to do is use your distributive property to simplify the parentheses.

Take the 2 from the outside, and multiply it times the $3 a$ to get $6 a$ because $3 \cdot 2 = 6$.

Then separately multiply that same 2 on the outside times the $+ 2$ on the inside: $2 \cdot \left(+ 2\right) = 4$.

So then your simplified equation will read $6 a + 4 = - 8$.

After this, you have to still get the $6 a$ by itself, so you subtract $4$ from both sides of the equation.

$4 - 4 = 0$ on the left side, so that 4 disappears. You also have to subtract 4 from the other side too. $- 8 - \left(4\right) = - 12$.

Then you have $6 a = - 12$. Divide both sides by $6$ to get $a = - 2$. There is your final answer using distributive property.