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Simplifying 5n + 2n = 5(n + 20) Combine like terms: 5n + 2n = 7n 7n = 5(n + 20) Reorder the terms: 7n = 5(20 + n) 7n = (20 * 5 + n * 5) 7n = (100 + 5n) Solving 7n = 100 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. 7n + -5n = 100 + 5n + -5n Combine like terms: 7n + -5n = 2n 2n = 100 + 5n + -5n Combine like terms: 5n + -5n = 0 2n = 100 + 0 2n = 100 Divide each side by '2'. n = 50 Simplifying n = 50
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