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Simplifying 12n + -5 = 3n + 8 Reorder the terms: -5 + 12n = 3n + 8 Reorder the terms: -5 + 12n = 8 + 3n Solving -5 + 12n = 8 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. -5 + 12n + -3n = 8 + 3n + -3n Combine like terms: 12n + -3n = 9n -5 + 9n = 8 + 3n + -3n Combine like terms: 3n + -3n = 0 -5 + 9n = 8 + 0 -5 + 9n = 8 Add '5' to each side of the equation. -5 + 5 + 9n = 8 + 5 Combine like terms: -5 + 5 = 0 0 + 9n = 8 + 5 9n = 8 + 5 Combine like terms: 8 + 5 = 13 9n = 13 Divide each side by '9'. n = 1.444444444 Simplifying n = 1.444444444
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