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Simplifying 26 = -8w + 2(w + 7) Reorder the terms: 26 = -8w + 2(7 + w) 26 = -8w + (7 * 2 + w * 2) 26 = -8w + (14 + 2w) Reorder the terms: 26 = 14 + -8w + 2w Combine like terms: -8w + 2w = -6w 26 = 14 + -6w Solving 26 = 14 + -6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '6w' to each side of the equation. 26 + 6w = 14 + -6w + 6w Combine like terms: -6w + 6w = 0 26 + 6w = 14 + 0 26 + 6w = 14 Add '-26' to each side of the equation. 26 + -26 + 6w = 14 + -26 Combine like terms: 26 + -26 = 0 0 + 6w = 14 + -26 6w = 14 + -26 Combine like terms: 14 + -26 = -12 6w = -12 Divide each side by '6'. w = -2 Simplifying w = -2
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