# How do you solve 6+3(1+3a)=2a?

Mar 3, 2018

$a = - \frac{9}{7}$

#### Explanation:

We can distribute the $3$ to both terms in the parenthesis to get:

$6 + \textcolor{b l u e}{3 + 9 a} = 2 a$

NOTE: What I have in blue is the product of our distribution.

We can further simplify the left side of the equation to get:

$9 + 9 a = 2 a$

We can subtract $9 a$ from both sides of the equation to get:

$9 = - 7 a$

We can divide both sides by $- 7$ to get:

$a = - \frac{9}{7}$