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Simplifying 10 = 5(w + 5) + -8w Reorder the terms: 10 = 5(5 + w) + -8w 10 = (5 * 5 + w * 5) + -8w 10 = (25 + 5w) + -8w Combine like terms: 5w + -8w = -3w 10 = 25 + -3w Solving 10 = 25 + -3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '3w' to each side of the equation. 10 + 3w = 25 + -3w + 3w Combine like terms: -3w + 3w = 0 10 + 3w = 25 + 0 10 + 3w = 25 Add '-10' to each side of the equation. 10 + -10 + 3w = 25 + -10 Combine like terms: 10 + -10 = 0 0 + 3w = 25 + -10 3w = 25 + -10 Combine like terms: 25 + -10 = 15 3w = 15 Divide each side by '3'. w = 5 Simplifying w = 5
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