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Simplifying 5n + 8n = 12 + 5n + 2n Combine like terms: 5n + 8n = 13n 13n = 12 + 5n + 2n Combine like terms: 5n + 2n = 7n 13n = 12 + 7n Solving 13n = 12 + 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. 13n + -7n = 12 + 7n + -7n Combine like terms: 13n + -7n = 6n 6n = 12 + 7n + -7n Combine like terms: 7n + -7n = 0 6n = 12 + 0 6n = 12 Divide each side by '6'. n = 2 Simplifying n = 2
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