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Simplifying 12n + -13 = 7n + 2 Reorder the terms: -13 + 12n = 7n + 2 Reorder the terms: -13 + 12n = 2 + 7n Solving -13 + 12n = 2 + 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. -13 + 12n + -7n = 2 + 7n + -7n Combine like terms: 12n + -7n = 5n -13 + 5n = 2 + 7n + -7n Combine like terms: 7n + -7n = 0 -13 + 5n = 2 + 0 -13 + 5n = 2 Add '13' to each side of the equation. -13 + 13 + 5n = 2 + 13 Combine like terms: -13 + 13 = 0 0 + 5n = 2 + 13 5n = 2 + 13 Combine like terms: 2 + 13 = 15 5n = 15 Divide each side by '5'. n = 3 Simplifying n = 3
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