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Simplifying 3500 = 35(9n + -8) Reorder the terms: 3500 = 35(-8 + 9n) 3500 = (-8 * 35 + 9n * 35) 3500 = (-280 + 315n) Solving 3500 = -280 + 315n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-315n' to each side of the equation. 3500 + -315n = -280 + 315n + -315n Combine like terms: 315n + -315n = 0 3500 + -315n = -280 + 0 3500 + -315n = -280 Add '-3500' to each side of the equation. 3500 + -3500 + -315n = -280 + -3500 Combine like terms: 3500 + -3500 = 0 0 + -315n = -280 + -3500 -315n = -280 + -3500 Combine like terms: -280 + -3500 = -3780 -315n = -3780 Divide each side by '-315'. n = 12 Simplifying n = 12
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