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Simplifying 2w + 2(2w + 2) = 32 Reorder the terms: 2w + 2(2 + 2w) = 32 2w + (2 * 2 + 2w * 2) = 32 2w + (4 + 4w) = 32 Reorder the terms: 4 + 2w + 4w = 32 Combine like terms: 2w + 4w = 6w 4 + 6w = 32 Solving 4 + 6w = 32 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 6w = 32 + -4 Combine like terms: 4 + -4 = 0 0 + 6w = 32 + -4 6w = 32 + -4 Combine like terms: 32 + -4 = 28 6w = 28 Divide each side by '6'. w = 4.666666667 Simplifying w = 4.666666667
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