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Simplifying 2w + 23 = -3(w + 9) Reorder the terms: 23 + 2w = -3(w + 9) Reorder the terms: 23 + 2w = -3(9 + w) 23 + 2w = (9 * -3 + w * -3) 23 + 2w = (-27 + -3w) Solving 23 + 2w = -27 + -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. 23 + 2w + 3w = -27 + -3w + 3w Combine like terms: 2w + 3w = 5w 23 + 5w = -27 + -3w + 3w Combine like terms: -3w + 3w = 0 23 + 5w = -27 + 0 23 + 5w = -27 Add '-23' to each side of the equation. 23 + -23 + 5w = -27 + -23 Combine like terms: 23 + -23 = 0 0 + 5w = -27 + -23 5w = -27 + -23 Combine like terms: -27 + -23 = -50 5w = -50 Divide each side by '5'. w = -10 Simplifying w = -10
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