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Simplifying -5(w + -4) = -8w + 11 Reorder the terms: -5(-4 + w) = -8w + 11 (-4 * -5 + w * -5) = -8w + 11 (20 + -5w) = -8w + 11 Reorder the terms: 20 + -5w = 11 + -8w Solving 20 + -5w = 11 + -8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '8w' to each side of the equation. 20 + -5w + 8w = 11 + -8w + 8w Combine like terms: -5w + 8w = 3w 20 + 3w = 11 + -8w + 8w Combine like terms: -8w + 8w = 0 20 + 3w = 11 + 0 20 + 3w = 11 Add '-20' to each side of the equation. 20 + -20 + 3w = 11 + -20 Combine like terms: 20 + -20 = 0 0 + 3w = 11 + -20 3w = 11 + -20 Combine like terms: 11 + -20 = -9 3w = -9 Divide each side by '3'. w = -3 Simplifying w = -3
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