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Simplifying 2w + 2(3w + 6) = 24 Reorder the terms: 2w + 2(6 + 3w) = 24 2w + (6 * 2 + 3w * 2) = 24 2w + (12 + 6w) = 24 Reorder the terms: 12 + 2w + 6w = 24 Combine like terms: 2w + 6w = 8w 12 + 8w = 24 Solving 12 + 8w = 24 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 8w = 24 + -12 Combine like terms: 12 + -12 = 0 0 + 8w = 24 + -12 8w = 24 + -12 Combine like terms: 24 + -12 = 12 8w = 12 Divide each side by '8'. w = 1.5 Simplifying w = 1.5
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