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Simplifying 7w + -31 = -2(w + 2) Reorder the terms: -31 + 7w = -2(w + 2) Reorder the terms: -31 + 7w = -2(2 + w) -31 + 7w = (2 * -2 + w * -2) -31 + 7w = (-4 + -2w) Solving -31 + 7w = -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 + 7w + 2w = -4 + -2w + 2w Combine like terms: 7w + 2w = 9w -31 + 9w = -4 + -2w + 2w Combine like terms: -2w + 2w = 0 -31 + 9w = -4 + 0 -31 + 9w = -4 Add '31' to each side of the equation. -31 + 31 + 9w = -4 + 31 Combine like terms: -31 + 31 = 0 0 + 9w = -4 + 31 9w = -4 + 31 Combine like terms: -4 + 31 = 27 9w = 27 Divide each side by '9'. w = 3 Simplifying w = 3
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