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Simplifying 2(2w + 9) = 57 Reorder the terms: 2(9 + 2w) = 57 (9 * 2 + 2w * 2) = 57 (18 + 4w) = 57 Solving 18 + 4w = 57 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 4w = 57 + -18 Combine like terms: 18 + -18 = 0 0 + 4w = 57 + -18 4w = 57 + -18 Combine like terms: 57 + -18 = 39 4w = 39 Divide each side by '4'. w = 9.75 Simplifying w = 9.75
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