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Simplifying 23 = -8w + 3(w + 6) Reorder the terms: 23 = -8w + 3(6 + w) 23 = -8w + (6 * 3 + w * 3) 23 = -8w + (18 + 3w) Reorder the terms: 23 = 18 + -8w + 3w Combine like terms: -8w + 3w = -5w 23 = 18 + -5w Solving 23 = 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. 23 + 5w = 18 + -5w + 5w Combine like terms: -5w + 5w = 0 23 + 5w = 18 + 0 23 + 5w = 18 Add '-23' to each side of the equation. 23 + -23 + 5w = 18 + -23 Combine like terms: 23 + -23 = 0 0 + 5w = 18 + -23 5w = 18 + -23 Combine like terms: 18 + -23 = -5 5w = -5 Divide each side by '5'. w = -1 Simplifying w = -1
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