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Simplifying 9n + -27 = -51 + 5n Reorder the terms: -27 + 9n = -51 + 5n Solving -27 + 9n = -51 + 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. -27 + 9n + -5n = -51 + 5n + -5n Combine like terms: 9n + -5n = 4n -27 + 4n = -51 + 5n + -5n Combine like terms: 5n + -5n = 0 -27 + 4n = -51 + 0 -27 + 4n = -51 Add '27' to each side of the equation. -27 + 27 + 4n = -51 + 27 Combine like terms: -27 + 27 = 0 0 + 4n = -51 + 27 4n = -51 + 27 Combine like terms: -51 + 27 = -24 4n = -24 Divide each side by '4'. n = -6 Simplifying n = -6
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