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Simplifying 11n + -3 + 2n + -2(1 + 4n + -4n) = 9 + n + 6 Combine like terms: 4n + -4n = 0 11n + -3 + 2n + -2(1 + 0) = 9 + n + 6 11n + -3 + 2n + -2(1) = 9 + n + 6 Multiply -2 * 1 11n + -3 + 2n + -2 = 9 + n + 6 Reorder the terms: -3 + -2 + 11n + 2n = 9 + n + 6 Combine like terms: -3 + -2 = -5 -5 + 11n + 2n = 9 + n + 6 Combine like terms: 11n + 2n = 13n -5 + 13n = 9 + n + 6 Reorder the terms: -5 + 13n = 9 + 6 + n Combine like terms: 9 + 6 = 15 -5 + 13n = 15 + n Solving -5 + 13n = 15 + n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. -5 + 13n + -1n = 15 + n + -1n Combine like terms: 13n + -1n = 12n -5 + 12n = 15 + n + -1n Combine like terms: n + -1n = 0 -5 + 12n = 15 + 0 -5 + 12n = 15 Add '5' to each side of the equation. -5 + 5 + 12n = 15 + 5 Combine like terms: -5 + 5 = 0 0 + 12n = 15 + 5 12n = 15 + 5 Combine like terms: 15 + 5 = 20 12n = 20 Divide each side by '12'. n = 1.666666667 Simplifying n = 1.666666667
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