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Simplifying 4 = -8w + 5(w + 5) Reorder the terms: 4 = -8w + 5(5 + w) 4 = -8w + (5 * 5 + w * 5) 4 = -8w + (25 + 5w) Reorder the terms: 4 = 25 + -8w + 5w Combine like terms: -8w + 5w = -3w 4 = 25 + -3w Solving 4 = 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. 4 + 3w = 25 + -3w + 3w Combine like terms: -3w + 3w = 0 4 + 3w = 25 + 0 4 + 3w = 25 Add '-4' to each side of the equation. 4 + -4 + 3w = 25 + -4 Combine like terms: 4 + -4 = 0 0 + 3w = 25 + -4 3w = 25 + -4 Combine like terms: 25 + -4 = 21 3w = 21 Divide each side by '3'. w = 7 Simplifying w = 7
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