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Simplifying -1.7n + 4.1(0.8 + 5.1n) = -81.47452 -1.7n + (0.8 * 4.1 + 5.1n * 4.1) = -81.47452 -1.7n + (3.28 + 20.91n) = -81.47452 Reorder the terms: 3.28 + -1.7n + 20.91n = -81.47452 Combine like terms: -1.7n + 20.91n = 19.21n 3.28 + 19.21n = -81.47452 Solving 3.28 + 19.21n = -81.47452 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3.28' to each side of the equation. 3.28 + -3.28 + 19.21n = -81.47452 + -3.28 Combine like terms: 3.28 + -3.28 = 0.00 0.00 + 19.21n = -81.47452 + -3.28 19.21n = -81.47452 + -3.28 Combine like terms: -81.47452 + -3.28 = -84.75452 19.21n = -84.75452 Divide each side by '19.21'. n = -4.412 Simplifying n = -4.412
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