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Simplifying 10(8 + w) + 11w + 3(4 + 3w) = 0 (8 * 10 + w * 10) + 11w + 3(4 + 3w) = 0 (80 + 10w) + 11w + 3(4 + 3w) = 0 80 + 10w + 11w + (4 * 3 + 3w * 3) = 0 80 + 10w + 11w + (12 + 9w) = 0 Reorder the terms: 80 + 12 + 10w + 11w + 9w = 0 Combine like terms: 80 + 12 = 92 92 + 10w + 11w + 9w = 0 Combine like terms: 10w + 11w = 21w 92 + 21w + 9w = 0 Combine like terms: 21w + 9w = 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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