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Simplifying 5 + -8w = 113 + 4w Solving 5 + -8w = 113 + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. 5 + -8w + -4w = 113 + 4w + -4w Combine like terms: -8w + -4w = -12w 5 + -12w = 113 + 4w + -4w Combine like terms: 4w + -4w = 0 5 + -12w = 113 + 0 5 + -12w = 113 Add '-5' to each side of the equation. 5 + -5 + -12w = 113 + -5 Combine like terms: 5 + -5 = 0 0 + -12w = 113 + -5 -12w = 113 + -5 Combine like terms: 113 + -5 = 108 -12w = 108 Divide each side by '-12'. w = -9 Simplifying w = -9
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