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Simplifying 26 = 3(w + 2) + -5w Reorder the terms: 26 = 3(2 + w) + -5w 26 = (2 * 3 + w * 3) + -5w 26 = (6 + 3w) + -5w Combine like terms: 3w + -5w = -2w 26 = 6 + -2w Solving 26 = 6 + -2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2w' to each side of the equation. 26 + 2w = 6 + -2w + 2w Combine like terms: -2w + 2w = 0 26 + 2w = 6 + 0 26 + 2w = 6 Add '-26' to each side of the equation. 26 + -26 + 2w = 6 + -26 Combine like terms: 26 + -26 = 0 0 + 2w = 6 + -26 2w = 6 + -26 Combine like terms: 6 + -26 = -20 2w = -20 Divide each side by '2'. w = -10 Simplifying w = -10
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