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Simplifying 2(2w + -5) + 5(2w + 5) = 0 Reorder the terms: 2(-5 + 2w) + 5(2w + 5) = 0 (-5 * 2 + 2w * 2) + 5(2w + 5) = 0 (-10 + 4w) + 5(2w + 5) = 0 Reorder the terms: -10 + 4w + 5(5 + 2w) = 0 -10 + 4w + (5 * 5 + 2w * 5) = 0 -10 + 4w + (25 + 10w) = 0 Reorder the terms: -10 + 25 + 4w + 10w = 0 Combine like terms: -10 + 25 = 15 15 + 4w + 10w = 0 Combine like terms: 4w + 10w = 14w 15 + 14w = 0 Solving 15 + 14w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 14w = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 14w = 0 + -15 14w = 0 + -15 Combine like terms: 0 + -15 = -15 14w = -15 Divide each side by '14'. w = -1.071428571 Simplifying w = -1.071428571
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