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Simplifying 2(4n + 3.2) = 46.2 Reorder the terms: 2(3.2 + 4n) = 46.2 (3.2 * 2 + 4n * 2) = 46.2 (6.4 + 8n) = 46.2 Solving 6.4 + 8n = 46.2 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6.4' to each side of the equation. 6.4 + -6.4 + 8n = 46.2 + -6.4 Combine like terms: 6.4 + -6.4 = 0.0 0.0 + 8n = 46.2 + -6.4 8n = 46.2 + -6.4 Combine like terms: 46.2 + -6.4 = 39.8 8n = 39.8 Divide each side by '8'. n = 4.975 Simplifying n = 4.975
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