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Simplifying 12n + 3 = 5n + 17 Reorder the terms: 3 + 12n = 5n + 17 Reorder the terms: 3 + 12n = 17 + 5n Solving 3 + 12n = 17 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. 3 + 12n + -5n = 17 + 5n + -5n Combine like terms: 12n + -5n = 7n 3 + 7n = 17 + 5n + -5n Combine like terms: 5n + -5n = 0 3 + 7n = 17 + 0 3 + 7n = 17 Add '-3' to each side of the equation. 3 + -3 + 7n = 17 + -3 Combine like terms: 3 + -3 = 0 0 + 7n = 17 + -3 7n = 17 + -3 Combine like terms: 17 + -3 = 14 7n = 14 Divide each side by '7'. n = 2 Simplifying n = 2
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