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Simplifying 26 = 6[w + 2] + -8w Reorder the terms: 26 = 6[2 + w] + -8w 26 = [2 * 6 + w * 6] + -8w 26 = [12 + 6w] + -8w Combine like terms: 6w + -8w = -2w 26 = 12 + -2w Solving 26 = 12 + -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 = 12 + -2w + 2w Combine like terms: -2w + 2w = 0 26 + 2w = 12 + 0 26 + 2w = 12 Add '-26' to each side of the equation. 26 + -26 + 2w = 12 + -26 Combine like terms: 26 + -26 = 0 0 + 2w = 12 + -26 2w = 12 + -26 Combine like terms: 12 + -26 = -14 2w = -14 Divide each side by '2'. w = -7 Simplifying w = -7
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