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Simplifying 2(w + 5) + 5(w + 2) + 1 = 0 Reorder the terms: 2(5 + w) + 5(w + 2) + 1 = 0 (5 * 2 + w * 2) + 5(w + 2) + 1 = 0 (10 + 2w) + 5(w + 2) + 1 = 0 Reorder the terms: 10 + 2w + 5(2 + w) + 1 = 0 10 + 2w + (2 * 5 + w * 5) + 1 = 0 10 + 2w + (10 + 5w) + 1 = 0 Reorder the terms: 10 + 10 + 1 + 2w + 5w = 0 Combine like terms: 10 + 10 = 20 20 + 1 + 2w + 5w = 0 Combine like terms: 20 + 1 = 21 21 + 2w + 5w = 0 Combine like terms: 2w + 5w = 7w 21 + 7w = 0 Solving 21 + 7w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + 7w = 0 + -21 Combine like terms: 21 + -21 = 0 0 + 7w = 0 + -21 7w = 0 + -21 Combine like terms: 0 + -21 = -21 7w = -21 Divide each side by '7'. w = -3 Simplifying w = -3
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