1. Start with the given equation:
-2w + 30 = -5
2. Subtract 30 from both sides of the equation:
-2w = -5 - 30
-2w = -35
3. Divide both sides by -2 to solve for w:
w = -35 / -2
w = 17.5
Therefore, the value of w that makes the equation true is w = 17.5