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Simplifying 2w + 2(3w + 2) = 24 Reorder the terms: 2w + 2(2 + 3w) = 24 2w + (2 * 2 + 3w * 2) = 24 2w + (4 + 6w) = 24 Reorder the terms: 4 + 2w + 6w = 24 Combine like terms: 2w + 6w = 8w 4 + 8w = 24 Solving 4 + 8w = 24 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 + 8w = 24 + -4 Combine like terms: 4 + -4 = 0 0 + 8w = 24 + -4 8w = 24 + -4 Combine like terms: 24 + -4 = 20 8w = 20 Divide each side by '8'. w = 2.5 Simplifying w = 2.5
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