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Simplifying 2n + -2(1 + -7n) + 2n + -7n = 3(-3 + 6 + n) + -4n 2n + (1 * -2 + -7n * -2) + 2n + -7n = 3(-3 + 6 + n) + -4n 2n + (-2 + 14n) + 2n + -7n = 3(-3 + 6 + n) + -4n Reorder the terms: -2 + 2n + 14n + 2n + -7n = 3(-3 + 6 + n) + -4n Combine like terms: 2n + 14n = 16n -2 + 16n + 2n + -7n = 3(-3 + 6 + n) + -4n Combine like terms: 16n + 2n = 18n -2 + 18n + -7n = 3(-3 + 6 + n) + -4n Combine like terms: 18n + -7n = 11n -2 + 11n = 3(-3 + 6 + n) + -4n Combine like terms: -3 + 6 = 3 -2 + 11n = 3(3 + n) + -4n -2 + 11n = (3 * 3 + n * 3) + -4n -2 + 11n = (9 + 3n) + -4n Combine like terms: 3n + -4n = -1n -2 + 11n = 9 + -1n Solving -2 + 11n = 9 + -1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'n' to each side of the equation. -2 + 11n + n = 9 + -1n + n Combine like terms: 11n + n = 12n -2 + 12n = 9 + -1n + n Combine like terms: -1n + n = 0 -2 + 12n = 9 + 0 -2 + 12n = 9 Add '2' to each side of the equation. -2 + 2 + 12n = 9 + 2 Combine like terms: -2 + 2 = 0 0 + 12n = 9 + 2 12n = 9 + 2 Combine like terms: 9 + 2 = 11 12n = 11 Divide each side by '12'. n = 0.9166666667 Simplifying n = 0.9166666667
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