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Simplifying 50(n + 5) + 25n = 1375 Reorder the terms: 50(5 + n) + 25n = 1375 (5 * 50 + n * 50) + 25n = 1375 (250 + 50n) + 25n = 1375 Combine like terms: 50n + 25n = 75n 250 + 75n = 1375 Solving 250 + 75n = 1375 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-250' to each side of the equation. 250 + -250 + 75n = 1375 + -250 Combine like terms: 250 + -250 = 0 0 + 75n = 1375 + -250 75n = 1375 + -250 Combine like terms: 1375 + -250 = 1125 75n = 1125 Divide each side by '75'. n = 15 Simplifying n = 15
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