Question

Solve the equation shown for q.
2(1/2q + 1) = -3(2q + -1) + 8q + 4

Answer 1

q = -6

Explanation:

So what I did is distribute the outside factors from the parenthesis into the expressions. Overall, distributing makes it look like this.

`1q+1=-6q+3+8q+4`

Then, I started to combine the like terms if there is any, which then results to this.

`1q+1=2q+7`

I subtracted 2q from both sides and combined like terms, leaving you with this.

`1q-2q+1=7\\-1q+1=7`

Subtract 1 from both sides and then divide by coefficient of q to get your final answer.

`-1q=6\\6/(-1)=-6\\q=-6`