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Simplifying 2w + 2(w + 12) = 44 Reorder the terms: 2w + 2(12 + w) = 44 2w + (12 * 2 + w * 2) = 44 2w + (24 + 2w) = 44 Reorder the terms: 24 + 2w + 2w = 44 Combine like terms: 2w + 2w = 4w 24 + 4w = 44 Solving 24 + 4w = 44 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 4w = 44 + -24 Combine like terms: 24 + -24 = 0 0 + 4w = 44 + -24 4w = 44 + -24 Combine like terms: 44 + -24 = 20 4w = 20 Divide each side by '4'. w = 5 Simplifying w = 5
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