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Simplifying 4w + -23 = 9(w + 3) Reorder the terms: -23 + 4w = 9(w + 3) Reorder the terms: -23 + 4w = 9(3 + w) -23 + 4w = (3 * 9 + w * 9) -23 + 4w = (27 + 9w) Solving -23 + 4w = 27 + 9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-9w' to each side of the equation. -23 + 4w + -9w = 27 + 9w + -9w Combine like terms: 4w + -9w = -5w -23 + -5w = 27 + 9w + -9w Combine like terms: 9w + -9w = 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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