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Simplifying 20 = 5(w + -2) + -8w Reorder the terms: 20 = 5(-2 + w) + -8w 20 = (-2 * 5 + w * 5) + -8w 20 = (-10 + 5w) + -8w Combine like terms: 5w + -8w = -3w 20 = -10 + -3w Solving 20 = -10 + -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. 20 + 3w = -10 + -3w + 3w Combine like terms: -3w + 3w = 0 20 + 3w = -10 + 0 20 + 3w = -10 Add '-20' to each side of the equation. 20 + -20 + 3w = -10 + -20 Combine like terms: 20 + -20 = 0 0 + 3w = -10 + -20 3w = -10 + -20 Combine like terms: -10 + -20 = -30 3w = -30 Divide each side by '3'. w = -10 Simplifying w = -10
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