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Simplifying 3(w + 6) = 46 Reorder the terms: 3(6 + w) = 46 (6 * 3 + w * 3) = 46 (18 + 3w) = 46 Solving 18 + 3w = 46 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 = 46 + -18 Combine like terms: 18 + -18 = 0 0 + 3w = 46 + -18 3w = 46 + -18 Combine like terms: 46 + -18 = 28 3w = 28 Divide each side by '3'. w = 9.333333333 Simplifying w = 9.333333333
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