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Simplifying 2w + 2(3w + 4) = 28 Reorder the terms: 2w + 2(4 + 3w) = 28 2w + (4 * 2 + 3w * 2) = 28 2w + (8 + 6w) = 28 Reorder the terms: 8 + 2w + 6w = 28 Combine like terms: 2w + 6w = 8w 8 + 8w = 28 Solving 8 + 8w = 28 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 + 8w = 28 + -8 Combine like terms: 8 + -8 = 0 0 + 8w = 28 + -8 8w = 28 + -8 Combine like terms: 28 + -8 = 20 8w = 20 Divide each side by '8'. w = 2.5 Simplifying w = 2.5
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