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Simplifying 8 + 12n + -3 = 5n + 23 + -2n Reorder the terms: 8 + -3 + 12n = 5n + 23 + -2n Combine like terms: 8 + -3 = 5 5 + 12n = 5n + 23 + -2n Reorder the terms: 5 + 12n = 23 + 5n + -2n Combine like terms: 5n + -2n = 3n 5 + 12n = 23 + 3n Solving 5 + 12n = 23 + 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 = 23 + 3n + -3n Combine like terms: 12n + -3n = 9n 5 + 9n = 23 + 3n + -3n Combine like terms: 3n + -3n = 0 5 + 9n = 23 + 0 5 + 9n = 23 Add '-5' to each side of the equation. 5 + -5 + 9n = 23 + -5 Combine like terms: 5 + -5 = 0 0 + 9n = 23 + -5 9n = 23 + -5 Combine like terms: 23 + -5 = 18 9n = 18 Divide each side by '9'. n = 2 Simplifying n = 2
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