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Simplifying -9w + 24 = -4(w + 4) Reorder the terms: 24 + -9w = -4(w + 4) Reorder the terms: 24 + -9w = -4(4 + w) 24 + -9w = (4 * -4 + w * -4) 24 + -9w = (-16 + -4w) Solving 24 + -9w = -16 + -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. 24 + -9w + 4w = -16 + -4w + 4w Combine like terms: -9w + 4w = -5w 24 + -5w = -16 + -4w + 4w Combine like terms: -4w + 4w = 0 24 + -5w = -16 + 0 24 + -5w = -16 Add '-24' to each side of the equation. 24 + -24 + -5w = -16 + -24 Combine like terms: 24 + -24 = 0 0 + -5w = -16 + -24 -5w = -16 + -24 Combine like terms: -16 + -24 = -40 -5w = -40 Divide each side by '-5'. w = 8 Simplifying w = 8
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