Let's start with the original equation:
\[ 4q - 8 = -2q - 5 \]
We'll follow your instructions to add 8 to both sides of the equation:
\[ 4q - 8 + 8 = -2q - 5 + 8 \]
Simplifying both sides, we have:
\[ 4q = -2q + 3 \]
Next, we need to isolate \( q \). To do this, we can add \( 2q \) to both sides:
\[ 4q + 2q = 3 \]
This simplifies to:
\[ 6q = 3 \]
Now, to solve for \( q \), we can divide both sides by 6:
\[ q = \frac{3}{6} \]
This simplifies to:
\[ q = \frac{1}{2} \]
So, the solution is:
\[ q = \frac{1}{2} \]
In your equation about \( 6q - 8 \) and the other terms, we can summarize the addition:
- Adding 8 to balance both sides gives: \[ 6q - 8 + 8 = -5 + 8 + 8 \] \[ 6q = -5 + 8 \] \[ 6q = 3 \]
Thus, after the correct steps, the equation simplifies to \( 6q = 3 \), leading us to \( q = \frac{1}{2} \).