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Simplifying 2w + 5(5 + w) = 42 2w + (5 * 5 + w * 5) = 42 2w + (25 + 5w) = 42 Reorder the terms: 25 + 2w + 5w = 42 Combine like terms: 2w + 5w = 7w 25 + 7w = 42 Solving 25 + 7w = 42 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + 7w = 42 + -25 Combine like terms: 25 + -25 = 0 0 + 7w = 42 + -25 7w = 42 + -25 Combine like terms: 42 + -25 = 17 7w = 17 Divide each side by '7'. w = 2.428571429 Simplifying w = 2.428571429
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