To solve for 'w', we need to simplify the expression on the right side of the equation by distributing the 2:
-8 = -5w + 2w + 4
Now, we can combine like terms on the right side:
-8 = -3w + 4
Subtracting 4 from both sides, we get:
-12 = -3w
Finally, dividing both sides by -3, we get:
w = 4
Therefore, the solution to the equation -8 = -5w + 2(w+2) is w = 4.