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Simplifying 26 = 5(w + 4) + -8w Reorder the terms: 26 = 5(4 + w) + -8w 26 = (4 * 5 + w * 5) + -8w 26 = (20 + 5w) + -8w Combine like terms: 5w + -8w = -3w 26 = 20 + -3w Solving 26 = 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. 26 + 3w = 20 + -3w + 3w Combine like terms: -3w + 3w = 0 26 + 3w = 20 + 0 26 + 3w = 20 Add '-26' to each side of the equation. 26 + -26 + 3w = 20 + -26 Combine like terms: 26 + -26 = 0 0 + 3w = 20 + -26 3w = 20 + -26 Combine like terms: 20 + -26 = -6 3w = -6 Divide each side by '3'. w = -2 Simplifying w = -2
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