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Simplifying 8 = -8w + 5(w + 4) Reorder the terms: 8 = -8w + 5(4 + w) 8 = -8w + (4 * 5 + w * 5) 8 = -8w + (20 + 5w) Reorder the terms: 8 = 20 + -8w + 5w Combine like terms: -8w + 5w = -3w 8 = 20 + -3w Solving 8 = 20 + -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. 8 + 3w = 20 + -3w + 3w Combine like terms: -3w + 3w = 0 8 + 3w = 20 + 0 8 + 3w = 20 Add '-8' to each side of the equation. 8 + -8 + 3w = 20 + -8 Combine like terms: 8 + -8 = 0 0 + 3w = 20 + -8 3w = 20 + -8 Combine like terms: 20 + -8 = 12 3w = 12 Divide each side by '3'. w = 4 Simplifying w = 4
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