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Simplifying 0.53(n + 2.6) = 8.31 Reorder the terms: 0.53(2.6 + n) = 8.31 (2.6 * 0.53 + n * 0.53) = 8.31 (1.378 + 0.53n) = 8.31 Solving 1.378 + 0.53n = 8.31 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1.378' to each side of the equation. 1.378 + -1.378 + 0.53n = 8.31 + -1.378 Combine like terms: 1.378 + -1.378 = 0.000 0.000 + 0.53n = 8.31 + -1.378 0.53n = 8.31 + -1.378 Combine like terms: 8.31 + -1.378 = 6.932 0.53n = 6.932 Divide each side by '0.53'. n = 13.07924528 Simplifying n = 13.07924528
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