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Simplifying 7(3n + -2) = 24 + 9n Reorder the terms: 7(-2 + 3n) = 24 + 9n (-2 * 7 + 3n * 7) = 24 + 9n (-14 + 21n) = 24 + 9n Solving -14 + 21n = 24 + 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. -14 + 21n + -9n = 24 + 9n + -9n Combine like terms: 21n + -9n = 12n -14 + 12n = 24 + 9n + -9n Combine like terms: 9n + -9n = 0 -14 + 12n = 24 + 0 -14 + 12n = 24 Add '14' to each side of the equation. -14 + 14 + 12n = 24 + 14 Combine like terms: -14 + 14 = 0 0 + 12n = 24 + 14 12n = 24 + 14 Combine like terms: 24 + 14 = 38 12n = 38 Divide each side by '12'. n = 3.166666667 Simplifying n = 3.166666667
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