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Simplifying 2(2w + 11) + 2w = 106 Reorder the terms: 2(11 + 2w) + 2w = 106 (11 * 2 + 2w * 2) + 2w = 106 (22 + 4w) + 2w = 106 Combine like terms: 4w + 2w = 6w 22 + 6w = 106 Solving 22 + 6w = 106 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + 6w = 106 + -22 Combine like terms: 22 + -22 = 0 0 + 6w = 106 + -22 6w = 106 + -22 Combine like terms: 106 + -22 = 84 6w = 84 Divide each side by '6'. w = 14 Simplifying w = 14
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