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Simplifying 5.7n + -4.7n + 3.1 = 2.2 + 8.7 Reorder the terms: 3.1 + 5.7n + -4.7n = 2.2 + 8.7 Combine like terms: 5.7n + -4.7n = 1n 3.1 + 1n = 2.2 + 8.7 Combine like terms: 2.2 + 8.7 = 10.9 3.1 + 1n = 10.9 Solving 3.1 + 1n = 10.9 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3.1' to each side of the equation. 3.1 + -3.1 + 1n = 10.9 + -3.1 Combine like terms: 3.1 + -3.1 = 0.0 0.0 + 1n = 10.9 + -3.1 1n = 10.9 + -3.1 Combine like terms: 10.9 + -3.1 = 7.8 1n = 7.8 Divide each side by '1'. n = 7.8 Simplifying n = 7.8
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