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Simplifying 2(4w + 1) = 12 Reorder the terms: 2(1 + 4w) = 12 (1 * 2 + 4w * 2) = 12 (2 + 8w) = 12 Solving 2 + 8w = 12 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 8w = 12 + -2 Combine like terms: 2 + -2 = 0 0 + 8w = 12 + -2 8w = 12 + -2 Combine like terms: 12 + -2 = 10 8w = 10 Divide each side by '8'. w = 1.25 Simplifying w = 1.25
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