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Simplifying 7n + -8 + -5 = 11 + -2n + 9 Reorder the terms: -8 + -5 + 7n = 11 + -2n + 9 Combine like terms: -8 + -5 = -13 -13 + 7n = 11 + -2n + 9 Reorder the terms: -13 + 7n = 11 + 9 + -2n Combine like terms: 11 + 9 = 20 -13 + 7n = 20 + -2n Solving -13 + 7n = 20 + -2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2n' to each side of the equation. -13 + 7n + 2n = 20 + -2n + 2n Combine like terms: 7n + 2n = 9n -13 + 9n = 20 + -2n + 2n Combine like terms: -2n + 2n = 0 -13 + 9n = 20 + 0 -13 + 9n = 20 Add '13' to each side of the equation. -13 + 13 + 9n = 20 + 13 Combine like terms: -13 + 13 = 0 0 + 9n = 20 + 13 9n = 20 + 13 Combine like terms: 20 + 13 = 33 9n = 33 Divide each side by '9'. n = 3.666666667 Simplifying n = 3.666666667
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