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Simplifying 13n + -12 = 6n + 9 Reorder the terms: -12 + 13n = 6n + 9 Reorder the terms: -12 + 13n = 9 + 6n Solving -12 + 13n = 9 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. -12 + 13n + -6n = 9 + 6n + -6n Combine like terms: 13n + -6n = 7n -12 + 7n = 9 + 6n + -6n Combine like terms: 6n + -6n = 0 -12 + 7n = 9 + 0 -12 + 7n = 9 Add '12' to each side of the equation. -12 + 12 + 7n = 9 + 12 Combine like terms: -12 + 12 = 0 0 + 7n = 9 + 12 7n = 9 + 12 Combine like terms: 9 + 12 = 21 7n = 21 Divide each side by '7'. n = 3 Simplifying n = 3
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