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Simplifying 7(w + 7) + -2w = 29 Reorder the terms: 7(7 + w) + -2w = 29 (7 * 7 + w * 7) + -2w = 29 (49 + 7w) + -2w = 29 Combine like terms: 7w + -2w = 5w 49 + 5w = 29 Solving 49 + 5w = 29 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-49' to each side of the equation. 49 + -49 + 5w = 29 + -49 Combine like terms: 49 + -49 = 0 0 + 5w = 29 + -49 5w = 29 + -49 Combine like terms: 29 + -49 = -20 5w = -20 Divide each side by '5'. w = -4 Simplifying w = -4
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