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Simplifying -5n + -6.4(n + -0.8) = 81.5 Reorder the terms: -5n + -6.4(-0.8 + n) = 81.5 -5n + (-0.8 * -6.4 + n * -6.4) = 81.5 -5n + (5.12 + -6.4n) = 81.5 Reorder the terms: 5.12 + -5n + -6.4n = 81.5 Combine like terms: -5n + -6.4n = -11.4n 5.12 + -11.4n = 81.5 Solving 5.12 + -11.4n = 81.5 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5.12' to each side of the equation. 5.12 + -5.12 + -11.4n = 81.5 + -5.12 Combine like terms: 5.12 + -5.12 = 0.00 0.00 + -11.4n = 81.5 + -5.12 -11.4n = 81.5 + -5.12 Combine like terms: 81.5 + -5.12 = 76.38 -11.4n = 76.38 Divide each side by '-11.4'. n = -6.7 Simplifying n = -6.7
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