Question

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

Answer 1

`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 - 3q - 9q = -12`

as

`12 - 12q = -12`

by grouping together the terms with q in it.

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

`12 - 12q + 12q = -12 + 12q`

That is

`12 = -12 + 12q`

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

`12 + 12 = -12 + 12 + 12q`

That is

`24 = 12q`

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

`24/12 = (12q)/12`

That is

`2 = q`

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

Have a wonderful day!!!