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Simplifying 10n + -8n + 2 = 11n + -28 + 6 Reorder the terms: 2 + 10n + -8n = 11n + -28 + 6 Combine like terms: 10n + -8n = 2n 2 + 2n = 11n + -28 + 6 Reorder the terms: 2 + 2n = -28 + 6 + 11n Combine like terms: -28 + 6 = -22 2 + 2n = -22 + 11n Solving 2 + 2n = -22 + 11n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-11n' to each side of the equation. 2 + 2n + -11n = -22 + 11n + -11n Combine like terms: 2n + -11n = -9n 2 + -9n = -22 + 11n + -11n Combine like terms: 11n + -11n = 0 2 + -9n = -22 + 0 2 + -9n = -22 Add '-2' to each side of the equation. 2 + -2 + -9n = -22 + -2 Combine like terms: 2 + -2 = 0 0 + -9n = -22 + -2 -9n = -22 + -2 Combine like terms: -22 + -2 = -24 -9n = -24 Divide each side by '-9'. n = 2.666666667 Simplifying n = 2.666666667
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