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Simplifying 2(2w + 17) + 2w = 126 Reorder the terms: 2(17 + 2w) + 2w = 126 (17 * 2 + 2w * 2) + 2w = 126 (34 + 4w) + 2w = 126 Combine like terms: 4w + 2w = 6w 34 + 6w = 126 Solving 34 + 6w = 126 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-34' to each side of the equation. 34 + -34 + 6w = 126 + -34 Combine like terms: 34 + -34 = 0 0 + 6w = 126 + -34 6w = 126 + -34 Combine like terms: 126 + -34 = 92 6w = 92 Divide each side by '6'. w = 15.33333333 Simplifying w = 15.33333333
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