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Simplifying 2(w + 22) + 2w = 204 Reorder the terms: 2(22 + w) + 2w = 204 (22 * 2 + w * 2) + 2w = 204 (44 + 2w) + 2w = 204 Combine like terms: 2w + 2w = 4w 44 + 4w = 204 Solving 44 + 4w = 204 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-44' to each side of the equation. 44 + -44 + 4w = 204 + -44 Combine like terms: 44 + -44 = 0 0 + 4w = 204 + -44 4w = 204 + -44 Combine like terms: 204 + -44 = 160 4w = 160 Divide each side by '4'. w = 40 Simplifying w = 40
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