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Simplifying 6.1n + -5.1n + 5.9 = -3.8 + 6.3 Reorder the terms: 5.9 + 6.1n + -5.1n = -3.8 + 6.3 Combine like terms: 6.1n + -5.1n = 1n 5.9 + 1n = -3.8 + 6.3 Combine like terms: -3.8 + 6.3 = 2.5 5.9 + 1n = 2.5 Solving 5.9 + 1n = 2.5 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5.9' to each side of the equation. 5.9 + -5.9 + 1n = 2.5 + -5.9 Combine like terms: 5.9 + -5.9 = 0.0 0.0 + 1n = 2.5 + -5.9 1n = 2.5 + -5.9 Combine like terms: 2.5 + -5.9 = -3.4 1n = -3.4 Divide each side by '1'. n = -3.4 Simplifying n = -3.4
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