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Simplifying 2w + 2(3w + 10) = 32 Reorder the terms: 2w + 2(10 + 3w) = 32 2w + (10 * 2 + 3w * 2) = 32 2w + (20 + 6w) = 32 Reorder the terms: 20 + 2w + 6w = 32 Combine like terms: 2w + 6w = 8w 20 + 8w = 32 Solving 20 + 8w = 32 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 8w = 32 + -20 Combine like terms: 20 + -20 = 0 0 + 8w = 32 + -20 8w = 32 + -20 Combine like terms: 32 + -20 = 12 8w = 12 Divide each side by '8'. w = 1.5 Simplifying w = 1.5
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