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Simplifying -2(w + 2) = 7w + -31 Reorder the terms: -2(2 + w) = 7w + -31 (2 * -2 + w * -2) = 7w + -31 (-4 + -2w) = 7w + -31 Reorder the terms: -4 + -2w = -31 + 7w Solving -4 + -2w = -31 + 7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. -4 + -2w + -7w = -31 + 7w + -7w Combine like terms: -2w + -7w = -9w -4 + -9w = -31 + 7w + -7w Combine like terms: 7w + -7w = 0 -4 + -9w = -31 + 0 -4 + -9w = -31 Add '4' to each side of the equation. -4 + 4 + -9w = -31 + 4 Combine like terms: -4 + 4 = 0 0 + -9w = -31 + 4 -9w = -31 + 4 Combine like terms: -31 + 4 = -27 -9w = -27 Divide each side by '-9'. w = 3 Simplifying w = 3
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