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Simplifying -5w + 7(w + 5) = 29 Reorder the terms: -5w + 7(5 + w) = 29 -5w + (5 * 7 + w * 7) = 29 -5w + (35 + 7w) = 29 Reorder the terms: 35 + -5w + 7w = 29 Combine like terms: -5w + 7w = 2w 35 + 2w = 29 Solving 35 + 2w = 29 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + 2w = 29 + -35 Combine like terms: 35 + -35 = 0 0 + 2w = 29 + -35 2w = 29 + -35 Combine like terms: 29 + -35 = -6 2w = -6 Divide each side by '2'. w = -3 Simplifying w = -3
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