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Simplifying 2n + -2(1 + -7n) + 2n + -7n = 3(-3 + 6n + n) + -4n 2n + (1 * -2 + -7n * -2) + 2n + -7n = 3(-3 + 6n + n) + -4n 2n + (-2 + 14n) + 2n + -7n = 3(-3 + 6n + n) + -4n Reorder the terms: -2 + 2n + 14n + 2n + -7n = 3(-3 + 6n + n) + -4n Combine like terms: 2n + 14n = 16n -2 + 16n + 2n + -7n = 3(-3 + 6n + n) + -4n Combine like terms: 16n + 2n = 18n -2 + 18n + -7n = 3(-3 + 6n + n) + -4n Combine like terms: 18n + -7n = 11n -2 + 11n = 3(-3 + 6n + n) + -4n Combine like terms: 6n + n = 7n -2 + 11n = 3(-3 + 7n) + -4n -2 + 11n = (-3 * 3 + 7n * 3) + -4n -2 + 11n = (-9 + 21n) + -4n Combine like terms: 21n + -4n = 17n -2 + 11n = -9 + 17n Solving -2 + 11n = -9 + 17n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-17n' to each side of the equation. -2 + 11n + -17n = -9 + 17n + -17n Combine like terms: 11n + -17n = -6n -2 + -6n = -9 + 17n + -17n Combine like terms: 17n + -17n = 0 -2 + -6n = -9 + 0 -2 + -6n = -9 Add '2' to each side of the equation. -2 + 2 + -6n = -9 + 2 Combine like terms: -2 + 2 = 0 0 + -6n = -9 + 2 -6n = -9 + 2 Combine like terms: -9 + 2 = -7 -6n = -7 Divide each side by '-6'. n = 1.166666667 Simplifying n = 1.166666667
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