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