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Simplifying -9w + 23 = -4(w + 3) Reorder the terms: 23 + -9w = -4(w + 3) Reorder the terms: 23 + -9w = -4(3 + w) 23 + -9w = (3 * -4 + w * -4) 23 + -9w = (-12 + -4w) Solving 23 + -9w = -12 + -4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '4w' to each side of the equation. 23 + -9w + 4w = -12 + -4w + 4w Combine like terms: -9w + 4w = -5w 23 + -5w = -12 + -4w + 4w Combine like terms: -4w + 4w = 0 23 + -5w = -12 + 0 23 + -5w = -12 Add '-23' to each side of the equation. 23 + -23 + -5w = -12 + -23 Combine like terms: 23 + -23 = 0 0 + -5w = -12 + -23 -5w = -12 + -23 Combine like terms: -12 + -23 = -35 -5w = -35 Divide each side by '-5'. w = 7 Simplifying w = 7
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