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Simplifying 26 = 2(2w + 4) + 2w Reorder the terms: 26 = 2(4 + 2w) + 2w 26 = (4 * 2 + 2w * 2) + 2w 26 = (8 + 4w) + 2w Combine like terms: 4w + 2w = 6w 26 = 8 + 6w Solving 26 = 8 + 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 = 8 + 6w + -6w Combine like terms: 6w + -6w = 0 26 + -6w = 8 + 0 26 + -6w = 8 Add '-26' to each side of the equation. 26 + -26 + -6w = 8 + -26 Combine like terms: 26 + -26 = 0 0 + -6w = 8 + -26 -6w = 8 + -26 Combine like terms: 8 + -26 = -18 -6w = -18 Divide each side by '-6'. w = 3 Simplifying w = 3
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