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