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Simplifying 10 = 10.1n + -8.2 + -1n Reorder the terms: 10 = -8.2 + 10.1n + -1n Combine like terms: 10.1n + -1n = 9.1n 10 = -8.2 + 9.1n Solving 10 = -8.2 + 9.1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-9.1n' to each side of the equation. 10 + -9.1n = -8.2 + 9.1n + -9.1n Combine like terms: 9.1n + -9.1n = 0.0 10 + -9.1n = -8.2 + 0.0 10 + -9.1n = -8.2 Add '-10' to each side of the equation. 10 + -10 + -9.1n = -8.2 + -10 Combine like terms: 10 + -10 = 0 0 + -9.1n = -8.2 + -10 -9.1n = -8.2 + -10 Combine like terms: -8.2 + -10 = -18.2 -9.1n = -18.2 Divide each side by '-9.1'. n = 2 Simplifying n = 2
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