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Simplifying 3 = 3(w + 6) + -8w Reorder the terms: 3 = 3(6 + w) + -8w 3 = (6 * 3 + w * 3) + -8w 3 = (18 + 3w) + -8w Combine like terms: 3w + -8w = -5w 3 = 18 + -5w Solving 3 = 18 + -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. 3 + 5w = 18 + -5w + 5w Combine like terms: -5w + 5w = 0 3 + 5w = 18 + 0 3 + 5w = 18 Add '-3' to each side of the equation. 3 + -3 + 5w = 18 + -3 Combine like terms: 3 + -3 = 0 0 + 5w = 18 + -3 5w = 18 + -3 Combine like terms: 18 + -3 = 15 5w = 15 Divide each side by '5'. w = 3 Simplifying w = 3
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