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Simplifying 43 + -3n = 9(3n + -9) + 5 Reorder the terms: 43 + -3n = 9(-9 + 3n) + 5 43 + -3n = (-9 * 9 + 3n * 9) + 5 43 + -3n = (-81 + 27n) + 5 Reorder the terms: 43 + -3n = -81 + 5 + 27n Combine like terms: -81 + 5 = -76 43 + -3n = -76 + 27n Solving 43 + -3n = -76 + 27n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-27n' to each side of the equation. 43 + -3n + -27n = -76 + 27n + -27n Combine like terms: -3n + -27n = -30n 43 + -30n = -76 + 27n + -27n Combine like terms: 27n + -27n = 0 43 + -30n = -76 + 0 43 + -30n = -76 Add '-43' to each side of the equation. 43 + -43 + -30n = -76 + -43 Combine like terms: 43 + -43 = 0 0 + -30n = -76 + -43 -30n = -76 + -43 Combine like terms: -76 + -43 = -119 -30n = -119 Divide each side by '-30'. n = 3.966666667 Simplifying n = 3.966666667
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