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Simplifying 9(2w + 8) + 4(3w + 5) = 0 Reorder the terms: 9(8 + 2w) + 4(3w + 5) = 0 (8 * 9 + 2w * 9) + 4(3w + 5) = 0 (72 + 18w) + 4(3w + 5) = 0 Reorder the terms: 72 + 18w + 4(5 + 3w) = 0 72 + 18w + (5 * 4 + 3w * 4) = 0 72 + 18w + (20 + 12w) = 0 Reorder the terms: 72 + 20 + 18w + 12w = 0 Combine like terms: 72 + 20 = 92 92 + 18w + 12w = 0 Combine like terms: 18w + 12w = 30w 92 + 30w = 0 Solving 92 + 30w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-92' to each side of the equation. 92 + -92 + 30w = 0 + -92 Combine like terms: 92 + -92 = 0 0 + 30w = 0 + -92 30w = 0 + -92 Combine like terms: 0 + -92 = -92 30w = -92 Divide each side by '30'. w = -3.066666667 Simplifying w = -3.066666667
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