# How do you solve 6( w - 3) - 2= - 4( - 2w + 1) - 8w?

##### 1 Answer
Sep 12, 2017

$w = \frac{8}{3}$ or, in decimal form: $w = 2.66666 . . .$

#### Explanation:

First, apply the distributive property to both sides of the equation:

$6 \left(w - 3\right) - 2 = - 4 \left(- 2 w + 1\right) - 8 w$

$6 w - 18 - 2 = 8 w - 4 - 8 w$

Next, on the left side, add $- 18$ and $- 2$ to the right, to isolate for $w$

$6 w = 8 w - 4 - 8 w + 20$

On the right side, the $- 8 w$ and $8 w$ terms cancel out, leaving us with:

$6 w = - 4 + 20$

$6 w = 16$

After dividing both side by $6$:

$w = \frac{16}{6}$

Simplifying the fraction:

$w = \frac{8}{3}$

You can also write the answer in decimal form as:

$2.66666 . . .$

(Where the $6$ repeats forever)