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Simplifying 2(6w + 5) + 9(2w + 2) = 0 Reorder the terms: 2(5 + 6w) + 9(2w + 2) = 0 (5 * 2 + 6w * 2) + 9(2w + 2) = 0 (10 + 12w) + 9(2w + 2) = 0 Reorder the terms: 10 + 12w + 9(2 + 2w) = 0 10 + 12w + (2 * 9 + 2w * 9) = 0 10 + 12w + (18 + 18w) = 0 Reorder the terms: 10 + 18 + 12w + 18w = 0 Combine like terms: 10 + 18 = 28 28 + 12w + 18w = 0 Combine like terms: 12w + 18w = 30w 28 + 30w = 0 Solving 28 + 30w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + 30w = 0 + -28 Combine like terms: 28 + -28 = 0 0 + 30w = 0 + -28 30w = 0 + -28 Combine like terms: 0 + -28 = -28 30w = -28 Divide each side by '30'. w = -0.9333333333 Simplifying w = -0.9333333333
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