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Simplifying (2 + 2w) * 4 + 9(w + 3) = 0 Reorder the terms for easier multiplication: 4(2 + 2w) + 9(w + 3) = 0 (2 * 4 + 2w * 4) + 9(w + 3) = 0 (8 + 8w) + 9(w + 3) = 0 Reorder the terms: 8 + 8w + 9(3 + w) = 0 8 + 8w + (3 * 9 + w * 9) = 0 8 + 8w + (27 + 9w) = 0 Reorder the terms: 8 + 27 + 8w + 9w = 0 Combine like terms: 8 + 27 = 35 35 + 8w + 9w = 0 Combine like terms: 8w + 9w = 17w 35 + 17w = 0 Solving 35 + 17w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + 17w = 0 + -35 Combine like terms: 35 + -35 = 0 0 + 17w = 0 + -35 17w = 0 + -35 Combine like terms: 0 + -35 = -35 17w = -35 Divide each side by '17'. w = -2.058823529 Simplifying w = -2.058823529
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