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Simplifying 8n + 5n + 16 = 4n + 7n Reorder the terms: 16 + 8n + 5n = 4n + 7n Combine like terms: 8n + 5n = 13n 16 + 13n = 4n + 7n Combine like terms: 4n + 7n = 11n 16 + 13n = 11n Solving 16 + 13n = 11n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-11n' to each side of the equation. 16 + 13n + -11n = 11n + -11n Combine like terms: 13n + -11n = 2n 16 + 2n = 11n + -11n Combine like terms: 11n + -11n = 0 16 + 2n = 0 Add '-16' to each side of the equation. 16 + -16 + 2n = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 2n = 0 + -16 2n = 0 + -16 Combine like terms: 0 + -16 = -16 2n = -16 Divide each side by '2'. n = -8 Simplifying n = -8
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