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Simplifying 2w + 2(2w + 4) = 24 Reorder the terms: 2w + 2(4 + 2w) = 24 2w + (4 * 2 + 2w * 2) = 24 2w + (8 + 4w) = 24 Reorder the terms: 8 + 2w + 4w = 24 Combine like terms: 2w + 4w = 6w 8 + 6w = 24 Solving 8 + 6w = 24 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 + 6w = 24 + -8 Combine like terms: 8 + -8 = 0 0 + 6w = 24 + -8 6w = 24 + -8 Combine like terms: 24 + -8 = 16 6w = 16 Divide each side by '6'. w = 2.666666667 Simplifying w = 2.666666667
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