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