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Simplifying 2(10w + 2) + 2w = 106 Reorder the terms: 2(2 + 10w) + 2w = 106 (2 * 2 + 10w * 2) + 2w = 106 (4 + 20w) + 2w = 106 Combine like terms: 20w + 2w = 22w 4 + 22w = 106 Solving 4 + 22w = 106 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 22w = 106 + -4 Combine like terms: 4 + -4 = 0 0 + 22w = 106 + -4 22w = 106 + -4 Combine like terms: 106 + -4 = 102 22w = 102 Divide each side by '22'. w = 4.636363636 Simplifying w = 4.636363636
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