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Simplifying -9(w + -4) = -4w + 11 Reorder the terms: -9(-4 + w) = -4w + 11 (-4 * -9 + w * -9) = -4w + 11 (36 + -9w) = -4w + 11 Reorder the terms: 36 + -9w = 11 + -4w Solving 36 + -9w = 11 + -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. 36 + -9w + 4w = 11 + -4w + 4w Combine like terms: -9w + 4w = -5w 36 + -5w = 11 + -4w + 4w Combine like terms: -4w + 4w = 0 36 + -5w = 11 + 0 36 + -5w = 11 Add '-36' to each side of the equation. 36 + -36 + -5w = 11 + -36 Combine like terms: 36 + -36 = 0 0 + -5w = 11 + -36 -5w = 11 + -36 Combine like terms: 11 + -36 = -25 -5w = -25 Divide each side by '-5'. w = 5 Simplifying w = 5
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