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Simplifying 9(2 + w) + 4w = 3w + -10 (2 * 9 + w * 9) + 4w = 3w + -10 (18 + 9w) + 4w = 3w + -10 Combine like terms: 9w + 4w = 13w 18 + 13w = 3w + -10 Reorder the terms: 18 + 13w = -10 + 3w Solving 18 + 13w = -10 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. 18 + 13w + -3w = -10 + 3w + -3w Combine like terms: 13w + -3w = 10w 18 + 10w = -10 + 3w + -3w Combine like terms: 3w + -3w = 0 18 + 10w = -10 + 0 18 + 10w = -10 Add '-18' to each side of the equation. 18 + -18 + 10w = -10 + -18 Combine like terms: 18 + -18 = 0 0 + 10w = -10 + -18 10w = -10 + -18 Combine like terms: -10 + -18 = -28 10w = -28 Divide each side by '10'. w = -2.8 Simplifying w = -2.8
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