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Simplifying 9w + -4(w + -2) = 3(w + 2) + -9 Reorder the terms: 9w + -4(-2 + w) = 3(w + 2) + -9 9w + (-2 * -4 + w * -4) = 3(w + 2) + -9 9w + (8 + -4w) = 3(w + 2) + -9 Reorder the terms: 8 + 9w + -4w = 3(w + 2) + -9 Combine like terms: 9w + -4w = 5w 8 + 5w = 3(w + 2) + -9 Reorder the terms: 8 + 5w = 3(2 + w) + -9 8 + 5w = (2 * 3 + w * 3) + -9 8 + 5w = (6 + 3w) + -9 Reorder the terms: 8 + 5w = 6 + -9 + 3w Combine like terms: 6 + -9 = -3 8 + 5w = -3 + 3w Solving 8 + 5w = -3 + 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. 8 + 5w + -3w = -3 + 3w + -3w Combine like terms: 5w + -3w = 2w 8 + 2w = -3 + 3w + -3w Combine like terms: 3w + -3w = 0 8 + 2w = -3 + 0 8 + 2w = -3 Add '-8' to each side of the equation. 8 + -8 + 2w = -3 + -8 Combine like terms: 8 + -8 = 0 0 + 2w = -3 + -8 2w = -3 + -8 Combine like terms: -3 + -8 = -11 2w = -11 Divide each side by '2'. w = -5.5 Simplifying w = -5.5
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