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Simplifying 3(w + 6) = 42 Reorder the terms: 3(6 + w) = 42 (6 * 3 + w * 3) = 42 (18 + 3w) = 42 Solving 18 + 3w = 42 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 3w = 42 + -18 Combine like terms: 18 + -18 = 0 0 + 3w = 42 + -18 3w = 42 + -18 Combine like terms: 42 + -18 = 24 3w = 24 Divide each side by '3'. w = 8 Simplifying w = 8
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