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Simplifying 12n + 4 = 4n + 6 + 3n + -2 Reorder the terms: 4 + 12n = 4n + 6 + 3n + -2 Reorder the terms: 4 + 12n = 6 + -2 + 4n + 3n Combine like terms: 6 + -2 = 4 4 + 12n = 4 + 4n + 3n Combine like terms: 4n + 3n = 7n 4 + 12n = 4 + 7n Add '-4' to each side of the equation. 4 + -4 + 12n = 4 + -4 + 7n Combine like terms: 4 + -4 = 0 0 + 12n = 4 + -4 + 7n 12n = 4 + -4 + 7n Combine like terms: 4 + -4 = 0 12n = 0 + 7n 12n = 7n Solving 12n = 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. 12n + -7n = 7n + -7n Combine like terms: 12n + -7n = 5n 5n = 7n + -7n Combine like terms: 7n + -7n = 0 5n = 0 Divide each side by '5'. n = 0 Simplifying n = 0
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