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Simplifying 4w + 3(w + 12) = 96 Reorder the terms: 4w + 3(12 + w) = 96 4w + (12 * 3 + w * 3) = 96 4w + (36 + 3w) = 96 Reorder the terms: 36 + 4w + 3w = 96 Combine like terms: 4w + 3w = 7w 36 + 7w = 96 Solving 36 + 7w = 96 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + 7w = 96 + -36 Combine like terms: 36 + -36 = 0 0 + 7w = 96 + -36 7w = 96 + -36 Combine like terms: 96 + -36 = 60 7w = 60 Divide each side by '7'. w = 8.571428571 Simplifying w = 8.571428571
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