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Simplifying 8w + -31 = 5(w + -8) Reorder the terms: -31 + 8w = 5(w + -8) Reorder the terms: -31 + 8w = 5(-8 + w) -31 + 8w = (-8 * 5 + w * 5) -31 + 8w = (-40 + 5w) Solving -31 + 8w = -40 + 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. -31 + 8w + -5w = -40 + 5w + -5w Combine like terms: 8w + -5w = 3w -31 + 3w = -40 + 5w + -5w Combine like terms: 5w + -5w = 0 -31 + 3w = -40 + 0 -31 + 3w = -40 Add '31' to each side of the equation. -31 + 31 + 3w = -40 + 31 Combine like terms: -31 + 31 = 0 0 + 3w = -40 + 31 3w = -40 + 31 Combine like terms: -40 + 31 = -9 3w = -9 Divide each side by '3'. w = -3 Simplifying w = -3
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