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Simplifying 6n + 9 = 3n + -21 + -6 Reorder the terms: 9 + 6n = 3n + -21 + -6 Reorder the terms: 9 + 6n = -21 + -6 + 3n Combine like terms: -21 + -6 = -27 9 + 6n = -27 + 3n Solving 9 + 6n = -27 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. 9 + 6n + -3n = -27 + 3n + -3n Combine like terms: 6n + -3n = 3n 9 + 3n = -27 + 3n + -3n Combine like terms: 3n + -3n = 0 9 + 3n = -27 + 0 9 + 3n = -27 Add '-9' to each side of the equation. 9 + -9 + 3n = -27 + -9 Combine like terms: 9 + -9 = 0 0 + 3n = -27 + -9 3n = -27 + -9 Combine like terms: -27 + -9 = -36 3n = -36 Divide each side by '3'. n = -12 Simplifying n = -12
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