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Simplifying 7n + 9 = 12n + -6 + 15 Reorder the terms: 9 + 7n = 12n + -6 + 15 Reorder the terms: 9 + 7n = -6 + 15 + 12n Combine like terms: -6 + 15 = 9 9 + 7n = 9 + 12n Add '-9' to each side of the equation. 9 + -9 + 7n = 9 + -9 + 12n Combine like terms: 9 + -9 = 0 0 + 7n = 9 + -9 + 12n 7n = 9 + -9 + 12n Combine like terms: 9 + -9 = 0 7n = 0 + 12n 7n = 12n Solving 7n = 12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-12n' to each side of the equation. 7n + -12n = 12n + -12n Combine like terms: 7n + -12n = -5n -5n = 12n + -12n Combine like terms: 12n + -12n = 0 -5n = 0 Divide each side by '-5'. n = 0 Simplifying n = 0
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