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Simplifying 8.38n + 3.11 = -2.02n + 6.46 Reorder the terms: 3.11 + 8.38n = -2.02n + 6.46 Reorder the terms: 3.11 + 8.38n = 6.46 + -2.02n Solving 3.11 + 8.38n = 6.46 + -2.02n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2.02n' to each side of the equation. 3.11 + 8.38n + 2.02n = 6.46 + -2.02n + 2.02n Combine like terms: 8.38n + 2.02n = 10.4n 3.11 + 10.4n = 6.46 + -2.02n + 2.02n Combine like terms: -2.02n + 2.02n = 0.00 3.11 + 10.4n = 6.46 + 0.00 3.11 + 10.4n = 6.46 Add '-3.11' to each side of the equation. 3.11 + -3.11 + 10.4n = 6.46 + -3.11 Combine like terms: 3.11 + -3.11 = 0.00 0.00 + 10.4n = 6.46 + -3.11 10.4n = 6.46 + -3.11 Combine like terms: 6.46 + -3.11 = 3.35 10.4n = 3.35 Divide each side by '10.4'. n = 0.3221153846 Simplifying n = 0.3221153846
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