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Simplifying 31 = 2(w + 5) + -5w Reorder the terms: 31 = 2(5 + w) + -5w 31 = (5 * 2 + w * 2) + -5w 31 = (10 + 2w) + -5w Combine like terms: 2w + -5w = -3w 31 = 10 + -3w Solving 31 = 10 + -3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '3w' to each side of the equation. 31 + 3w = 10 + -3w + 3w Combine like terms: -3w + 3w = 0 31 + 3w = 10 + 0 31 + 3w = 10 Add '-31' to each side of the equation. 31 + -31 + 3w = 10 + -31 Combine like terms: 31 + -31 = 0 0 + 3w = 10 + -31 3w = 10 + -31 Combine like terms: 10 + -31 = -21 3w = -21 Divide each side by '3'. w = -7 Simplifying w = -7
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