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Simplifying (9w) = 2(5 + w) + 2w (9w) = (5 * 2 + w * 2) + 2w (9w) = (10 + 2w) + 2w Combine like terms: 2w + 2w = 4w (9w) = 10 + 4w Solving (9w) = 10 + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. (9w) + -4w = 10 + 4w + -4w Combine like terms: (9w) + -4w = 5w 5w = 10 + 4w + -4w Combine like terms: 4w + -4w = 0 5w = 10 + 0 5w = 10 Divide each side by '5'. w = 2 Simplifying w = 2
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