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Simplifying 5n + 10 + 30n = 500 Reorder the terms: 10 + 5n + 30n = 500 Combine like terms: 5n + 30n = 35n 10 + 35n = 500 Solving 10 + 35n = 500 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 35n = 500 + -10 Combine like terms: 10 + -10 = 0 0 + 35n = 500 + -10 35n = 500 + -10 Combine like terms: 500 + -10 = 490 35n = 490 Divide each side by '35'. n = 14 Simplifying n = 14
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