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Simplifying 7w + 2(w + 7) = -31 Reorder the terms: 7w + 2(7 + w) = -31 7w + (7 * 2 + w * 2) = -31 7w + (14 + 2w) = -31 Reorder the terms: 14 + 7w + 2w = -31 Combine like terms: 7w + 2w = 9w 14 + 9w = -31 Solving 14 + 9w = -31 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 9w = -31 + -14 Combine like terms: 14 + -14 = 0 0 + 9w = -31 + -14 9w = -31 + -14 Combine like terms: -31 + -14 = -45 9w = -45 Divide each side by '9'. w = -5 Simplifying w = -5
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