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Simplifying 31 = 13 + -5(-1 + -4w) 31 = 13 + (-1 * -5 + -4w * -5) 31 = 13 + (5 + 20w) Combine like terms: 13 + 5 = 18 31 = 18 + 20w Solving 31 = 18 + 20w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-20w' to each side of the equation. 31 + -20w = 18 + 20w + -20w Combine like terms: 20w + -20w = 0 31 + -20w = 18 + 0 31 + -20w = 18 Add '-31' to each side of the equation. 31 + -31 + -20w = 18 + -31 Combine like terms: 31 + -31 = 0 0 + -20w = 18 + -31 -20w = 18 + -31 Combine like terms: 18 + -31 = -13 -20w = -13 Divide each side by '-20'. w = 0.65 Simplifying w = 0.65
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