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Simplifying 10 = -8w + 5(w + 8) Reorder the terms: 10 = -8w + 5(8 + w) 10 = -8w + (8 * 5 + w * 5) 10 = -8w + (40 + 5w) Reorder the terms: 10 = 40 + -8w + 5w Combine like terms: -8w + 5w = -3w 10 = 40 + -3w Solving 10 = 40 + -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 = 40 + -3w + 3w Combine like terms: -3w + 3w = 0 10 + 3w = 40 + 0 10 + 3w = 40 Add '-10' to each side of the equation. 10 + -10 + 3w = 40 + -10 Combine like terms: 10 + -10 = 0 0 + 3w = 40 + -10 3w = 40 + -10 Combine like terms: 40 + -10 = 30 3w = 30 Divide each side by '3'. w = 10 Simplifying w = 10
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