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Simplifying 9(2n + 5) + 3n = -75 Reorder the terms: 9(5 + 2n) + 3n = -75 (5 * 9 + 2n * 9) + 3n = -75 (45 + 18n) + 3n = -75 Combine like terms: 18n + 3n = 21n 45 + 21n = -75 Solving 45 + 21n = -75 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -45 + 21n = -75 + -45 Combine like terms: 45 + -45 = 0 0 + 21n = -75 + -45 21n = -75 + -45 Combine like terms: -75 + -45 = -120 21n = -120 Divide each side by '21'. n = -5.714285714 Simplifying n = -5.714285714
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