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Simplifying 12 + 5n = 2n + -9 Reorder the terms: 12 + 5n = -9 + 2n Solving 12 + 5n = -9 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. 12 + 5n + -2n = -9 + 2n + -2n Combine like terms: 5n + -2n = 3n 12 + 3n = -9 + 2n + -2n Combine like terms: 2n + -2n = 0 12 + 3n = -9 + 0 12 + 3n = -9 Add '-12' to each side of the equation. 12 + -12 + 3n = -9 + -12 Combine like terms: 12 + -12 = 0 0 + 3n = -9 + -12 3n = -9 + -12 Combine like terms: -9 + -12 = -21 3n = -21 Divide each side by '3'. n = -7 Simplifying n = -7
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