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Simplifying -2(w + -2) = -5w + 31 Reorder the terms: -2(-2 + w) = -5w + 31 (-2 * -2 + w * -2) = -5w + 31 (4 + -2w) = -5w + 31 Reorder the terms: 4 + -2w = 31 + -5w Solving 4 + -2w = 31 + -5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '5w' to each side of the equation. 4 + -2w + 5w = 31 + -5w + 5w Combine like terms: -2w + 5w = 3w 4 + 3w = 31 + -5w + 5w Combine like terms: -5w + 5w = 0 4 + 3w = 31 + 0 4 + 3w = 31 Add '-4' to each side of the equation. 4 + -4 + 3w = 31 + -4 Combine like terms: 4 + -4 = 0 0 + 3w = 31 + -4 3w = 31 + -4 Combine like terms: 31 + -4 = 27 3w = 27 Divide each side by '3'. w = 9 Simplifying w = 9
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