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Simplifying 6(2w + 4) = 42 Reorder the terms: 6(4 + 2w) = 42 (4 * 6 + 2w * 6) = 42 (24 + 12w) = 42 Solving 24 + 12w = 42 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 12w = 42 + -24 Combine like terms: 24 + -24 = 0 0 + 12w = 42 + -24 12w = 42 + -24 Combine like terms: 42 + -24 = 18 12w = 18 Divide each side by '12'. w = 1.5 Simplifying w = 1.5
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