To solve this equation, let's first simplify it step by step:
1. Let's start by simplifying the left side of the equation. Let's distribute the negative sign on -(q-5) to get -q + 5.
2. The right side of the equation is already simplified as 8q - 4 / -4. Now, let's simplify the expression in the denominator by dividing -4 by -4, which gives us 1. So, we have 8q - 1 on the right side.
The simplified equation is:
-q + 5 = 8q - 1
3. Next, we can add q to both sides of the equation to solve for the variables on one side:
5 = 9q - 1
4. Now, let's add 1 to both sides:
6 = 9q
5. Finally, divide both sides by 9 to find the value of q:
q = 6/9
q = 2/3
The value of q is equal to 2/3.