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Simplifying 6(n + -1) + -1(8 + -6n) = 11n Reorder the terms: 6(-1 + n) + -1(8 + -6n) = 11n (-1 * 6 + n * 6) + -1(8 + -6n) = 11n (-6 + 6n) + -1(8 + -6n) = 11n -6 + 6n + (8 * -1 + -6n * -1) = 11n -6 + 6n + (-8 + 6n) = 11n Reorder the terms: -6 + -8 + 6n + 6n = 11n Combine like terms: -6 + -8 = -14 -14 + 6n + 6n = 11n Combine like terms: 6n + 6n = 12n -14 + 12n = 11n Solving -14 + 12n = 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. -14 + 12n + -11n = 11n + -11n Combine like terms: 12n + -11n = 1n -14 + 1n = 11n + -11n Combine like terms: 11n + -11n = 0 -14 + 1n = 0 Add '14' to each side of the equation. -14 + 14 + 1n = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 1n = 0 + 14 1n = 0 + 14 Combine like terms: 0 + 14 = 14 1n = 14 Divide each side by '1'. n = 14 Simplifying n = 14
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