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Simplifying 12 + -2n = 9n + 45 Reorder the terms: 12 + -2n = 45 + 9n Solving 12 + -2n = 45 + 9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-9n' to each side of the equation. 12 + -2n + -9n = 45 + 9n + -9n Combine like terms: -2n + -9n = -11n 12 + -11n = 45 + 9n + -9n Combine like terms: 9n + -9n = 0 12 + -11n = 45 + 0 12 + -11n = 45 Add '-12' to each side of the equation. 12 + -12 + -11n = 45 + -12 Combine like terms: 12 + -12 = 0 0 + -11n = 45 + -12 -11n = 45 + -12 Combine like terms: 45 + -12 = 33 -11n = 33 Divide each side by '-11'. n = -3 Simplifying n = -3
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