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Simplifying 12n + -5 = 9n + 3 Reorder the terms: -5 + 12n = 9n + 3 Reorder the terms: -5 + 12n = 3 + 9n Solving -5 + 12n = 3 + 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. -5 + 12n + -9n = 3 + 9n + -9n Combine like terms: 12n + -9n = 3n -5 + 3n = 3 + 9n + -9n Combine like terms: 9n + -9n = 0 -5 + 3n = 3 + 0 -5 + 3n = 3 Add '5' to each side of the equation. -5 + 5 + 3n = 3 + 5 Combine like terms: -5 + 5 = 0 0 + 3n = 3 + 5 3n = 3 + 5 Combine like terms: 3 + 5 = 8 3n = 8 Divide each side by '3'. n = 2.666666667 Simplifying n = 2.666666667
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