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Simplifying 9(3 + w) + -4w = 3w + -10 (3 * 9 + w * 9) + -4w = 3w + -10 (27 + 9w) + -4w = 3w + -10 Combine like terms: 9w + -4w = 5w 27 + 5w = 3w + -10 Reorder the terms: 27 + 5w = -10 + 3w Solving 27 + 5w = -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. 27 + 5w + -3w = -10 + 3w + -3w Combine like terms: 5w + -3w = 2w 27 + 2w = -10 + 3w + -3w Combine like terms: 3w + -3w = 0 27 + 2w = -10 + 0 27 + 2w = -10 Add '-27' to each side of the equation. 27 + -27 + 2w = -10 + -27 Combine like terms: 27 + -27 = 0 0 + 2w = -10 + -27 2w = -10 + -27 Combine like terms: -10 + -27 = -37 2w = -37 Divide each side by '2'. w = -18.5 Simplifying w = -18.5
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