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Simplifying 8(w + 5) = 3w + 25 Reorder the terms: 8(5 + w) = 3w + 25 (5 * 8 + w * 8) = 3w + 25 (40 + 8w) = 3w + 25 Reorder the terms: 40 + 8w = 25 + 3w Solving 40 + 8w = 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. 40 + 8w + -3w = 25 + 3w + -3w Combine like terms: 8w + -3w = 5w 40 + 5w = 25 + 3w + -3w Combine like terms: 3w + -3w = 0 40 + 5w = 25 + 0 40 + 5w = 25 Add '-40' to each side of the equation. 40 + -40 + 5w = 25 + -40 Combine like terms: 40 + -40 = 0 0 + 5w = 25 + -40 5w = 25 + -40 Combine like terms: 25 + -40 = -15 5w = -15 Divide each side by '5'. w = -3 Simplifying w = -3
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