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Simplifying 1n + -3 + -10 = -6 + -11n + 13 Reorder the terms: -3 + -10 + 1n = -6 + -11n + 13 Combine like terms: -3 + -10 = -13 -13 + 1n = -6 + -11n + 13 Reorder the terms: -13 + 1n = -6 + 13 + -11n Combine like terms: -6 + 13 = 7 -13 + 1n = 7 + -11n Solving -13 + 1n = 7 + -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. -13 + 1n + 11n = 7 + -11n + 11n Combine like terms: 1n + 11n = 12n -13 + 12n = 7 + -11n + 11n Combine like terms: -11n + 11n = 0 -13 + 12n = 7 + 0 -13 + 12n = 7 Add '13' to each side of the equation. -13 + 13 + 12n = 7 + 13 Combine like terms: -13 + 13 = 0 0 + 12n = 7 + 13 12n = 7 + 13 Combine like terms: 7 + 13 = 20 12n = 20 Divide each side by '12'. n = 1.666666667 Simplifying n = 1.666666667
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