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Simplifying 9 + 11n + -7 = 7n + 83 + -5n Reorder the terms: 9 + -7 + 11n = 7n + 83 + -5n Combine like terms: 9 + -7 = 2 2 + 11n = 7n + 83 + -5n Reorder the terms: 2 + 11n = 83 + 7n + -5n Combine like terms: 7n + -5n = 2n 2 + 11n = 83 + 2n Solving 2 + 11n = 83 + 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. 2 + 11n + -2n = 83 + 2n + -2n Combine like terms: 11n + -2n = 9n 2 + 9n = 83 + 2n + -2n Combine like terms: 2n + -2n = 0 2 + 9n = 83 + 0 2 + 9n = 83 Add '-2' to each side of the equation. 2 + -2 + 9n = 83 + -2 Combine like terms: 2 + -2 = 0 0 + 9n = 83 + -2 9n = 83 + -2 Combine like terms: 83 + -2 = 81 9n = 81 Divide each side by '9'. n = 9 Simplifying n = 9
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