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Simplifying 9 + 13n + -6 = 8n + 17 + -2n Reorder the terms: 9 + -6 + 13n = 8n + 17 + -2n Combine like terms: 9 + -6 = 3 3 + 13n = 8n + 17 + -2n Reorder the terms: 3 + 13n = 17 + 8n + -2n Combine like terms: 8n + -2n = 6n 3 + 13n = 17 + 6n Solving 3 + 13n = 17 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. 3 + 13n + -6n = 17 + 6n + -6n Combine like terms: 13n + -6n = 7n 3 + 7n = 17 + 6n + -6n Combine like terms: 6n + -6n = 0 3 + 7n = 17 + 0 3 + 7n = 17 Add '-3' to each side of the equation. 3 + -3 + 7n = 17 + -3 Combine like terms: 3 + -3 = 0 0 + 7n = 17 + -3 7n = 17 + -3 Combine like terms: 17 + -3 = 14 7n = 14 Divide each side by '7'. n = 2 Simplifying n = 2
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