# How do you solve 39 - 12w = 7 - 16w?

Apr 8, 2016

$w = - 8$

#### Explanation:

Rearrange the equation so you have $w$'s on one side and normal numbers (constants) on the other.

$39 - 12 w = 7 - 16 w$
$39 - 7 - 12 w = - 16 w$
$39 - 7 = - 16 w + 12 w$

Simplify this to

$32 = - 4 w$

and divide both sides by $4$,

$\frac{32}{4} = \frac{- 4 w}{4}$

$8 = - w$

Therefore, if $8 = - w$, then $- 8 = w$.