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Simplifying (3w + 2) * 2 = 44 Reorder the terms: (2 + 3w) * 2 = 44 Reorder the terms for easier multiplication: 2(2 + 3w) = 44 (2 * 2 + 3w * 2) = 44 (4 + 6w) = 44 Solving 4 + 6w = 44 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 6w = 44 + -4 Combine like terms: 4 + -4 = 0 0 + 6w = 44 + -4 6w = 44 + -4 Combine like terms: 44 + -4 = 40 6w = 40 Divide each side by '6'. w = 6.666666667 Simplifying w = 6.666666667
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