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