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Simplifying 9 = -7w + 5(w + 5) Reorder the terms: 9 = -7w + 5(5 + w) 9 = -7w + (5 * 5 + w * 5) 9 = -7w + (25 + 5w) Reorder the terms: 9 = 25 + -7w + 5w Combine like terms: -7w + 5w = -2w 9 = 25 + -2w Solving 9 = 25 + -2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2w' to each side of the equation. 9 + 2w = 25 + -2w + 2w Combine like terms: -2w + 2w = 0 9 + 2w = 25 + 0 9 + 2w = 25 Add '-9' to each side of the equation. 9 + -9 + 2w = 25 + -9 Combine like terms: 9 + -9 = 0 0 + 2w = 25 + -9 2w = 25 + -9 Combine like terms: 25 + -9 = 16 2w = 16 Divide each side by '2'. w = 8 Simplifying w = 8
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