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Simplifying 6(n + 75) + 9n = 1725 Reorder the terms: 6(75 + n) + 9n = 1725 (75 * 6 + n * 6) + 9n = 1725 (450 + 6n) + 9n = 1725 Combine like terms: 6n + 9n = 15n 450 + 15n = 1725 Solving 450 + 15n = 1725 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-450' to each side of the equation. 450 + -450 + 15n = 1725 + -450 Combine like terms: 450 + -450 = 0 0 + 15n = 1725 + -450 15n = 1725 + -450 Combine like terms: 1725 + -450 = 1275 15n = 1275 Divide each side by '15'. n = 85 Simplifying n = 85
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