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Simplifying 12 + -9n = 84 + -30n Solving 12 + -9n = 84 + -30n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '30n' to each side of the equation. 12 + -9n + 30n = 84 + -30n + 30n Combine like terms: -9n + 30n = 21n 12 + 21n = 84 + -30n + 30n Combine like terms: -30n + 30n = 0 12 + 21n = 84 + 0 12 + 21n = 84 Add '-12' to each side of the equation. 12 + -12 + 21n = 84 + -12 Combine like terms: 12 + -12 = 0 0 + 21n = 84 + -12 21n = 84 + -12 Combine like terms: 84 + -12 = 72 21n = 72 Divide each side by '21'. n = 3.428571429 Simplifying n = 3.428571429
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