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Simplifying 8.2(5w + 9) = 4.1 Reorder the terms: 8.2(9 + 5w) = 4.1 (9 * 8.2 + 5w * 8.2) = 4.1 (73.8 + 41w) = 4.1 Solving 73.8 + 41w = 4.1 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-73.8' to each side of the equation. 73.8 + -73.8 + 41w = 4.1 + -73.8 Combine like terms: 73.8 + -73.8 = 0.0 0.0 + 41w = 4.1 + -73.8 41w = 4.1 + -73.8 Combine like terms: 4.1 + -73.8 = -69.7 41w = -69.7 Divide each side by '41'. w = -1.7 Simplifying w = -1.7
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