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Simplifying 23 = -4w + 2(w + 3) Reorder the terms: 23 = -4w + 2(3 + w) 23 = -4w + (3 * 2 + w * 2) 23 = -4w + (6 + 2w) Reorder the terms: 23 = 6 + -4w + 2w Combine like terms: -4w + 2w = -2w 23 = 6 + -2w Solving 23 = 6 + -2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2w' to each side of the equation. 23 + 2w = 6 + -2w + 2w Combine like terms: -2w + 2w = 0 23 + 2w = 6 + 0 23 + 2w = 6 Add '-23' to each side of the equation. 23 + -23 + 2w = 6 + -23 Combine like terms: 23 + -23 = 0 0 + 2w = 6 + -23 2w = 6 + -23 Combine like terms: 6 + -23 = -17 2w = -17 Divide each side by '2'. w = -8.5 Simplifying w = -8.5
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