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Simplifying 2w + 2(w + 4) = 40 Reorder the terms: 2w + 2(4 + w) = 40 2w + (4 * 2 + w * 2) = 40 2w + (8 + 2w) = 40 Reorder the terms: 8 + 2w + 2w = 40 Combine like terms: 2w + 2w = 4w 8 + 4w = 40 Solving 8 + 4w = 40 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 4w = 40 + -8 Combine like terms: 8 + -8 = 0 0 + 4w = 40 + -8 4w = 40 + -8 Combine like terms: 40 + -8 = 32 4w = 32 Divide each side by '4'. w = 8 Simplifying w = 8
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