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Simplifying 3n2 + -2n + 1 = 3n2 + 9n + 11 Reorder the terms: 1 + -2n + 3n2 = 3n2 + 9n + 11 Reorder the terms: 1 + -2n + 3n2 = 11 + 9n + 3n2 Add '-3n2' to each side of the equation. 1 + -2n + 3n2 + -3n2 = 11 + 9n + 3n2 + -3n2 Combine like terms: 3n2 + -3n2 = 0 1 + -2n + 0 = 11 + 9n + 3n2 + -3n2 1 + -2n = 11 + 9n + 3n2 + -3n2 Combine like terms: 3n2 + -3n2 = 0 1 + -2n = 11 + 9n + 0 1 + -2n = 11 + 9n Solving 1 + -2n = 11 + 9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-9n' to each side of the equation. 1 + -2n + -9n = 11 + 9n + -9n Combine like terms: -2n + -9n = -11n 1 + -11n = 11 + 9n + -9n Combine like terms: 9n + -9n = 0 1 + -11n = 11 + 0 1 + -11n = 11 Add '-1' to each side of the equation. 1 + -1 + -11n = 11 + -1 Combine like terms: 1 + -1 = 0 0 + -11n = 11 + -1 -11n = 11 + -1 Combine like terms: 11 + -1 = 10 -11n = 10 Divide each side by '-11'. n = -0.9090909091 Simplifying n = -0.9090909091
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