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Simplifying 7 + 13n + -2 = 9n + 71 + -7n Reorder the terms: 7 + -2 + 13n = 9n + 71 + -7n Combine like terms: 7 + -2 = 5 5 + 13n = 9n + 71 + -7n Reorder the terms: 5 + 13n = 71 + 9n + -7n Combine like terms: 9n + -7n = 2n 5 + 13n = 71 + 2n Solving 5 + 13n = 71 + 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. 5 + 13n + -2n = 71 + 2n + -2n Combine like terms: 13n + -2n = 11n 5 + 11n = 71 + 2n + -2n Combine like terms: 2n + -2n = 0 5 + 11n = 71 + 0 5 + 11n = 71 Add '-5' to each side of the equation. 5 + -5 + 11n = 71 + -5 Combine like terms: 5 + -5 = 0 0 + 11n = 71 + -5 11n = 71 + -5 Combine like terms: 71 + -5 = 66 11n = 66 Divide each side by '11'. n = 6 Simplifying n = 6
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