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Simplifying 2(4w + 2) + 2w = 54 Reorder the terms: 2(2 + 4w) + 2w = 54 (2 * 2 + 4w * 2) + 2w = 54 (4 + 8w) + 2w = 54 Combine like terms: 8w + 2w = 10w 4 + 10w = 54 Solving 4 + 10w = 54 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 + 10w = 54 + -4 Combine like terms: 4 + -4 = 0 0 + 10w = 54 + -4 10w = 54 + -4 Combine like terms: 54 + -4 = 50 10w = 50 Divide each side by '10'. w = 5 Simplifying w = 5
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