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Simplifying 13n + 10 = 7n + 46 Reorder the terms: 10 + 13n = 7n + 46 Reorder the terms: 10 + 13n = 46 + 7n Solving 10 + 13n = 46 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. 10 + 13n + -7n = 46 + 7n + -7n Combine like terms: 13n + -7n = 6n 10 + 6n = 46 + 7n + -7n Combine like terms: 7n + -7n = 0 10 + 6n = 46 + 0 10 + 6n = 46 Add '-10' to each side of the equation. 10 + -10 + 6n = 46 + -10 Combine like terms: 10 + -10 = 0 0 + 6n = 46 + -10 6n = 46 + -10 Combine like terms: 46 + -10 = 36 6n = 36 Divide each side by '6'. n = 6 Simplifying n = 6
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