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Simplifying 4(6 + 3.2w) + 7 = 60.2 (6 * 4 + 3.2w * 4) + 7 = 60.2 (24 + 12.8w) + 7 = 60.2 Reorder the terms: 24 + 7 + 12.8w = 60.2 Combine like terms: 24 + 7 = 31 31 + 12.8w = 60.2 Solving 31 + 12.8w = 60.2 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-31' to each side of the equation. 31 + -31 + 12.8w = 60.2 + -31 Combine like terms: 31 + -31 = 0 0 + 12.8w = 60.2 + -31 12.8w = 60.2 + -31 Combine like terms: 60.2 + -31 = 29.2 12.8w = 29.2 Divide each side by '12.8'. w = 2.28125 Simplifying w = 2.28125
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