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Simplifying -31 = 8(w + -2) + -5w Reorder the terms: -31 = 8(-2 + w) + -5w -31 = (-2 * 8 + w * 8) + -5w -31 = (-16 + 8w) + -5w Combine like terms: 8w + -5w = 3w -31 = -16 + 3w Solving -31 = -16 + 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 = -16 + 3w + -3w Combine like terms: 3w + -3w = 0 -31 + -3w = -16 + 0 -31 + -3w = -16 Add '31' to each side of the equation. -31 + 31 + -3w = -16 + 31 Combine like terms: -31 + 31 = 0 0 + -3w = -16 + 31 -3w = -16 + 31 Combine like terms: -16 + 31 = 15 -3w = 15 Divide each side by '-3'. w = -5 Simplifying w = -5
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