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Simplifying 4(2w + 3) + 2(3 + w) = 0 Reorder the terms: 4(3 + 2w) + 2(3 + w) = 0 (3 * 4 + 2w * 4) + 2(3 + w) = 0 (12 + 8w) + 2(3 + w) = 0 12 + 8w + (3 * 2 + w * 2) = 0 12 + 8w + (6 + 2w) = 0 Reorder the terms: 12 + 6 + 8w + 2w = 0 Combine like terms: 12 + 6 = 18 18 + 8w + 2w = 0 Combine like terms: 8w + 2w = 10w 18 + 10w = 0 Solving 18 + 10w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 10w = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 10w = 0 + -18 10w = 0 + -18 Combine like terms: 0 + -18 = -18 10w = -18 Divide each side by '10'. w = -1.8 Simplifying w = -1.8
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