# How do you solve 12- 3q - 9q = - 12?

Apr 6, 2017

$q = 2$

#### Explanation:

The great thing about equations is that we can do (almost) any operation on both sides while maintaining its equality.

We can simplify

$12 - 3 q - 9 q = - 12$

as

$12 - 12 q = - 12$

by grouping together the terms with q in it.

Now we can add $12 q$ to both sides of the equation and the equation will still be true. So:

$12 - 12 q + 12 q = - 12 + 12 q$

That is

$12 = - 12 + 12 q$

Now add $12$ to both sides of the equation. So:

$12 + 12 = - 12 + 12 + 12 q$

That is

$24 = 12 q$

Now let's divide both the sides of the equation by $12$. So:

$\frac{24}{12} = \frac{12 q}{12}$

That is

$2 = q$

Hence we have obtained the value of $q$ that solves the given equation, $q = 2$.

Have a wonderful day!!!