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Simplifying -5(w + -4) = 4w + -25 Reorder the terms: -5(-4 + w) = 4w + -25 (-4 * -5 + w * -5) = 4w + -25 (20 + -5w) = 4w + -25 Reorder the terms: 20 + -5w = -25 + 4w Solving 20 + -5w = -25 + 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. 20 + -5w + -4w = -25 + 4w + -4w Combine like terms: -5w + -4w = -9w 20 + -9w = -25 + 4w + -4w Combine like terms: 4w + -4w = 0 20 + -9w = -25 + 0 20 + -9w = -25 Add '-20' to each side of the equation. 20 + -20 + -9w = -25 + -20 Combine like terms: 20 + -20 = 0 0 + -9w = -25 + -20 -9w = -25 + -20 Combine like terms: -25 + -20 = -45 -9w = -45 Divide each side by '-9'. w = 5 Simplifying w = 5
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