Let's solve the equation step by step:
The equation is: \[ -6w + 4w = -6 - 2 \]
First, simplify the left side: \[ -6w + 4w = -2w \]
Now simplify the right side: \[ -6 - 2 = -8 \]
Now, we have the equation: \[ -2w = -8 \]
To solve for \( w \), divide both sides by -2: \[ w = \frac{-8}{-2} = 4 \]
So, the solution is: \[ w = 4 \]