Solve for q. You can choose to show your work below or solve on paper and then enter your answer on Zearn.

Question

4q − 8
=
−2q − 5
+
2q
+
2q

6q − 8
=
−5
+
8
+
8

6q
=
3

q
=

Answer 1

Let's solve for \( q \) step by step. We start with the first equation:

1. Given Equation: \[ 4q - 8 = -2q - 5 + 2q + 2q \]

2. Combine like terms on the right side: \[ -2q + 2q + 2q = 2q \] Therefore, the equation simplifies to: \[ 4q - 8 = 2q - 5 \]

3. Add \( 8 \) to both sides: \[ 4q = 2q - 5 + 8 \] Which simplifies to: \[ 4q = 2q + 3 \]

4. Subtract \( 2q \) from both sides: \[ 4q - 2q = 3 \] This gives: \[ 2q = 3 \]

5. Divide both sides by \( 2 \): \[ q = \frac{3}{2} \]

To recap, we solved the equation step by step and arrived at the solution: \[ q = \frac{3}{2} \text{ or } 1.5 \]

This is your final answer.