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Simplifying 9 + 12n + -5 = 7n + 18 + -2n Reorder the terms: 9 + -5 + 12n = 7n + 18 + -2n Combine like terms: 9 + -5 = 4 4 + 12n = 7n + 18 + -2n Reorder the terms: 4 + 12n = 18 + 7n + -2n Combine like terms: 7n + -2n = 5n 4 + 12n = 18 + 5n Solving 4 + 12n = 18 + 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. 4 + 12n + -5n = 18 + 5n + -5n Combine like terms: 12n + -5n = 7n 4 + 7n = 18 + 5n + -5n Combine like terms: 5n + -5n = 0 4 + 7n = 18 + 0 4 + 7n = 18 Add '-4' to each side of the equation. 4 + -4 + 7n = 18 + -4 Combine like terms: 4 + -4 = 0 0 + 7n = 18 + -4 7n = 18 + -4 Combine like terms: 18 + -4 = 14 7n = 14 Divide each side by '7'. n = 2 Simplifying n = 2
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