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