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Simplifying 5n + 9 = 2n + -12 Reorder the terms: 9 + 5n = 2n + -12 Reorder the terms: 9 + 5n = -12 + 2n Solving 9 + 5n = -12 + 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. 9 + 5n + -2n = -12 + 2n + -2n Combine like terms: 5n + -2n = 3n 9 + 3n = -12 + 2n + -2n Combine like terms: 2n + -2n = 0 9 + 3n = -12 + 0 9 + 3n = -12 Add '-9' to each side of the equation. 9 + -9 + 3n = -12 + -9 Combine like terms: 9 + -9 = 0 0 + 3n = -12 + -9 3n = -12 + -9 Combine like terms: -12 + -9 = -21 3n = -21 Divide each side by '3'. n = -7 Simplifying n = -7
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