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Simplifying 2(5w + 13) + 2w = 50 Reorder the terms: 2(13 + 5w) + 2w = 50 (13 * 2 + 5w * 2) + 2w = 50 (26 + 10w) + 2w = 50 Combine like terms: 10w + 2w = 12w 26 + 12w = 50 Solving 26 + 12w = 50 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -26 + 12w = 50 + -26 Combine like terms: 26 + -26 = 0 0 + 12w = 50 + -26 12w = 50 + -26 Combine like terms: 50 + -26 = 24 12w = 24 Divide each side by '12'. w = 2 Simplifying w = 2
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