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Simplifying 10 = -3w + 8(w + 5) Reorder the terms: 10 = -3w + 8(5 + w) 10 = -3w + (5 * 8 + w * 8) 10 = -3w + (40 + 8w) Reorder the terms: 10 = 40 + -3w + 8w Combine like terms: -3w + 8w = 5w 10 = 40 + 5w Solving 10 = 40 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. 10 + -5w = 40 + 5w + -5w Combine like terms: 5w + -5w = 0 10 + -5w = 40 + 0 10 + -5w = 40 Add '-10' to each side of the equation. 10 + -10 + -5w = 40 + -10 Combine like terms: 10 + -10 = 0 0 + -5w = 40 + -10 -5w = 40 + -10 Combine like terms: 40 + -10 = 30 -5w = 30 Divide each side by '-5'. w = -6 Simplifying w = -6
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