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Simplifying 2w + 2(3w + 4) = 32 Reorder the terms: 2w + 2(4 + 3w) = 32 2w + (4 * 2 + 3w * 2) = 32 2w + (8 + 6w) = 32 Reorder the terms: 8 + 2w + 6w = 32 Combine like terms: 2w + 6w = 8w 8 + 8w = 32 Solving 8 + 8w = 32 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 = 32 + -8 Combine like terms: 8 + -8 = 0 0 + 8w = 32 + -8 8w = 32 + -8 Combine like terms: 32 + -8 = 24 8w = 24 Divide each side by '8'. w = 3 Simplifying w = 3
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