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Simplifying 6n + -1[9n + -4(n + 2)] = 7n + -1(2 + -5n) Reorder the terms: 6n + -1[9n + -4(2 + n)] = 7n + -1(2 + -5n) 6n + -1[9n + (2 * -4 + n * -4)] = 7n + -1(2 + -5n) 6n + -1[9n + (-8 + -4n)] = 7n + -1(2 + -5n) Reorder the terms: 6n + -1[-8 + 9n + -4n] = 7n + -1(2 + -5n) Combine like terms: 9n + -4n = 5n 6n + -1[-8 + 5n] = 7n + -1(2 + -5n) 6n + [-8 * -1 + 5n * -1] = 7n + -1(2 + -5n) 6n + [8 + -5n] = 7n + -1(2 + -5n) Reorder the terms: 8 + 6n + -5n = 7n + -1(2 + -5n) Combine like terms: 6n + -5n = 1n 8 + 1n = 7n + -1(2 + -5n) 8 + 1n = 7n + (2 * -1 + -5n * -1) 8 + 1n = 7n + (-2 + 5n) Reorder the terms: 8 + 1n = -2 + 7n + 5n Combine like terms: 7n + 5n = 12n 8 + 1n = -2 + 12n Solving 8 + 1n = -2 + 12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-12n' to each side of the equation. 8 + 1n + -12n = -2 + 12n + -12n Combine like terms: 1n + -12n = -11n 8 + -11n = -2 + 12n + -12n Combine like terms: 12n + -12n = 0 8 + -11n = -2 + 0 8 + -11n = -2 Add '-8' to each side of the equation. 8 + -8 + -11n = -2 + -8 Combine like terms: 8 + -8 = 0 0 + -11n = -2 + -8 -11n = -2 + -8 Combine like terms: -2 + -8 = -10 -11n = -10 Divide each side by '-11'. n = 0.9090909091 Simplifying n = 0.9090909091
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