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Simplifying 5 + 13n + -4 = 9n + 89 + -7n Reorder the terms: 5 + -4 + 13n = 9n + 89 + -7n Combine like terms: 5 + -4 = 1 1 + 13n = 9n + 89 + -7n Reorder the terms: 1 + 13n = 89 + 9n + -7n Combine like terms: 9n + -7n = 2n 1 + 13n = 89 + 2n Solving 1 + 13n = 89 + 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. 1 + 13n + -2n = 89 + 2n + -2n Combine like terms: 13n + -2n = 11n 1 + 11n = 89 + 2n + -2n Combine like terms: 2n + -2n = 0 1 + 11n = 89 + 0 1 + 11n = 89 Add '-1' to each side of the equation. 1 + -1 + 11n = 89 + -1 Combine like terms: 1 + -1 = 0 0 + 11n = 89 + -1 11n = 89 + -1 Combine like terms: 89 + -1 = 88 11n = 88 Divide each side by '11'. n = 8 Simplifying n = 8
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