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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 = 9n -9 + 9n = -27 + -3n + 3n Combine like terms: -3n + 3n = 0 -9 + 9n = -27 + 0 -9 + 9n = -27 Add '9' to each side of the equation. -9 + 9 + 9n = -27 + 9 Combine like terms: -9 + 9 = 0 0 + 9n = -27 + 9 9n = -27 + 9 Combine like terms: -27 + 9 = -18 9n = -18 Divide each side by '9'. n = -2 Simplifying n = -2
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