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Simplifying 8(w + 3) = 3w + 9 Reorder the terms: 8(3 + w) = 3w + 9 (3 * 8 + w * 8) = 3w + 9 (24 + 8w) = 3w + 9 Reorder the terms: 24 + 8w = 9 + 3w Solving 24 + 8w = 9 + 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. 24 + 8w + -3w = 9 + 3w + -3w Combine like terms: 8w + -3w = 5w 24 + 5w = 9 + 3w + -3w Combine like terms: 3w + -3w = 0 24 + 5w = 9 + 0 24 + 5w = 9 Add '-24' to each side of the equation. 24 + -24 + 5w = 9 + -24 Combine like terms: 24 + -24 = 0 0 + 5w = 9 + -24 5w = 9 + -24 Combine like terms: 9 + -24 = -15 5w = -15 Divide each side by '5'. w = -3 Simplifying w = -3
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