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Simplifying 9w + -4(w + -2) = 3(w + 1) + -9 Reorder the terms: 9w + -4(-2 + w) = 3(w + 1) + -9 9w + (-2 * -4 + w * -4) = 3(w + 1) + -9 9w + (8 + -4w) = 3(w + 1) + -9 Reorder the terms: 8 + 9w + -4w = 3(w + 1) + -9 Combine like terms: 9w + -4w = 5w 8 + 5w = 3(w + 1) + -9 Reorder the terms: 8 + 5w = 3(1 + w) + -9 8 + 5w = (1 * 3 + w * 3) + -9 8 + 5w = (3 + 3w) + -9 Reorder the terms: 8 + 5w = 3 + -9 + 3w Combine like terms: 3 + -9 = -6 8 + 5w = -6 + 3w Solving 8 + 5w = -6 + 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 = -6 + 3w + -3w Combine like terms: 5w + -3w = 2w 8 + 2w = -6 + 3w + -3w Combine like terms: 3w + -3w = 0 8 + 2w = -6 + 0 8 + 2w = -6 Add '-8' to each side of the equation. 8 + -8 + 2w = -6 + -8 Combine like terms: 8 + -8 = 0 0 + 2w = -6 + -8 2w = -6 + -8 Combine like terms: -6 + -8 = -14 2w = -14 Divide each side by '2'. w = -7 Simplifying w = -7
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