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Simplifying 5(5n + 10) + 5n = 80 Reorder the terms: 5(10 + 5n) + 5n = 80 (10 * 5 + 5n * 5) + 5n = 80 (50 + 25n) + 5n = 80 Combine like terms: 25n + 5n = 30n 50 + 30n = 80 Solving 50 + 30n = 80 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-50' to each side of the equation. 50 + -50 + 30n = 80 + -50 Combine like terms: 50 + -50 = 0 0 + 30n = 80 + -50 30n = 80 + -50 Combine like terms: 80 + -50 = 30 30n = 30 Divide each side by '30'. n = 1 Simplifying n = 1
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