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Simplifying 9 + 12n + -2 = 9n + 14 + -4n Reorder the terms: 9 + -2 + 12n = 9n + 14 + -4n Combine like terms: 9 + -2 = 7 7 + 12n = 9n + 14 + -4n Reorder the terms: 7 + 12n = 14 + 9n + -4n Combine like terms: 9n + -4n = 5n 7 + 12n = 14 + 5n Solving 7 + 12n = 14 + 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. 7 + 12n + -5n = 14 + 5n + -5n Combine like terms: 12n + -5n = 7n 7 + 7n = 14 + 5n + -5n Combine like terms: 5n + -5n = 0 7 + 7n = 14 + 0 7 + 7n = 14 Add '-7' to each side of the equation. 7 + -7 + 7n = 14 + -7 Combine like terms: 7 + -7 = 0 0 + 7n = 14 + -7 7n = 14 + -7 Combine like terms: 14 + -7 = 7 7n = 7 Divide each side by '7'. n = 1 Simplifying n = 1
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