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Simplifying n * 13 + 25 = n * 6 + 102 Reorder the terms for easier multiplication: 13n + 25 = n * 6 + 102 Reorder the terms: 25 + 13n = n * 6 + 102 Reorder the terms for easier multiplication: 25 + 13n = 6n + 102 Reorder the terms: 25 + 13n = 102 + 6n Solving 25 + 13n = 102 + 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. 25 + 13n + -6n = 102 + 6n + -6n Combine like terms: 13n + -6n = 7n 25 + 7n = 102 + 6n + -6n Combine like terms: 6n + -6n = 0 25 + 7n = 102 + 0 25 + 7n = 102 Add '-25' to each side of the equation. 25 + -25 + 7n = 102 + -25 Combine like terms: 25 + -25 = 0 0 + 7n = 102 + -25 7n = 102 + -25 Combine like terms: 102 + -25 = 77 7n = 77 Divide each side by '7'. n = 11 Simplifying n = 11
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