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Simplifying 0 = 7(6n + -2) + -6(8 + -3n) Reorder the terms: 0 = 7(-2 + 6n) + -6(8 + -3n) 0 = (-2 * 7 + 6n * 7) + -6(8 + -3n) 0 = (-14 + 42n) + -6(8 + -3n) 0 = -14 + 42n + (8 * -6 + -3n * -6) 0 = -14 + 42n + (-48 + 18n) Reorder the terms: 0 = -14 + -48 + 42n + 18n Combine like terms: -14 + -48 = -62 0 = -62 + 42n + 18n Combine like terms: 42n + 18n = 60n 0 = -62 + 60n Solving 0 = -62 + 60n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-60n' to each side of the equation. 0 + -60n = -62 + 60n + -60n Remove the zero: -60n = -62 + 60n + -60n Combine like terms: 60n + -60n = 0 -60n = -62 + 0 -60n = -62 Divide each side by '-60'. n = 1.033333333 Simplifying n = 1.033333333
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