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Simplifying 2(14 + w) = 52 (14 * 2 + w * 2) = 52 (28 + 2w) = 52 Solving 28 + 2w = 52 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + 2w = 52 + -28 Combine like terms: 28 + -28 = 0 0 + 2w = 52 + -28 2w = 52 + -28 Combine like terms: 52 + -28 = 24 2w = 24 Divide each side by '2'. w = 12 Simplifying w = 12
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