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Simplifying -31 = 5(w + -2) + -8w Reorder the terms: -31 = 5(-2 + w) + -8w -31 = (-2 * 5 + w * 5) + -8w -31 = (-10 + 5w) + -8w Combine like terms: 5w + -8w = -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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