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Simplifying 8.1 = 5n + -6.4 Reorder the terms: 8.1 = -6.4 + 5n Solving 8.1 = -6.4 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. 8.1 + -5n = -6.4 + 5n + -5n Combine like terms: 5n + -5n = 0 8.1 + -5n = -6.4 + 0 8.1 + -5n = -6.4 Add '-8.1' to each side of the equation. 8.1 + -8.1 + -5n = -6.4 + -8.1 Combine like terms: 8.1 + -8.1 = 0.0 0.0 + -5n = -6.4 + -8.1 -5n = -6.4 + -8.1 Combine like terms: -6.4 + -8.1 = -14.5 -5n = -14.5 Divide each side by '-5'. n = 2.9 Simplifying n = 2.9
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