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Simplifying 4(w + 6) = 42 Reorder the terms: 4(6 + w) = 42 (6 * 4 + w * 4) = 42 (24 + 4w) = 42 Solving 24 + 4w = 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 + 4w = 42 + -24 Combine like terms: 24 + -24 = 0 0 + 4w = 42 + -24 4w = 42 + -24 Combine like terms: 42 + -24 = 18 4w = 18 Divide each side by '4'. w = 4.5 Simplifying w = 4.5
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