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Simplifying 35000 = 28000 + 75(12.5 + 0.12(n + -200)) Reorder the terms: 35000 = 28000 + 75(12.5 + 0.12(-200 + n)) 35000 = 28000 + 75(12.5 + (-200 * 0.12 + n * 0.12)) 35000 = 28000 + 75(12.5 + (-24 + 0.12n)) Combine like terms: 12.5 + -24 = -11.5 35000 = 28000 + 75(-11.5 + 0.12n) 35000 = 28000 + (-11.5 * 75 + 0.12n * 75) 35000 = 28000 + (-862.5 + 9n) Combine like terms: 28000 + -862.5 = 27137.5 35000 = 27137.5 + 9n Solving 35000 = 27137.5 + 9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-9n' to each side of the equation. 35000 + -9n = 27137.5 + 9n + -9n Combine like terms: 9n + -9n = 0 35000 + -9n = 27137.5 + 0 35000 + -9n = 27137.5 Add '-35000' to each side of the equation. 35000 + -35000 + -9n = 27137.5 + -35000 Combine like terms: 35000 + -35000 = 0 0 + -9n = 27137.5 + -35000 -9n = 27137.5 + -35000 Combine like terms: 27137.5 + -35000 = -7862.5 -9n = -7862.5 Divide each side by '-9'. n = 873.6111111 Simplifying n = 873.6111111
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