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Simplifying 2w + 31 = 9(w + -2) Reorder the terms: 31 + 2w = 9(w + -2) Reorder the terms: 31 + 2w = 9(-2 + w) 31 + 2w = (-2 * 9 + w * 9) 31 + 2w = (-18 + 9w) Solving 31 + 2w = -18 + 9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-9w' to each side of the equation. 31 + 2w + -9w = -18 + 9w + -9w Combine like terms: 2w + -9w = -7w 31 + -7w = -18 + 9w + -9w Combine like terms: 9w + -9w = 0 31 + -7w = -18 + 0 31 + -7w = -18 Add '-31' to each side of the equation. 31 + -31 + -7w = -18 + -31 Combine like terms: 31 + -31 = 0 0 + -7w = -18 + -31 -7w = -18 + -31 Combine like terms: -18 + -31 = -49 -7w = -49 Divide each side by '-7'. w = 7 Simplifying w = 7
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