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Simplifying 6n + 9 = -3n + -21 Reorder the terms: 9 + 6n = -3n + -21 Reorder the terms: 9 + 6n = -21 + -3n Solving 9 + 6n = -21 + -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 = -21 + -3n + 3n Combine like terms: 6n + 3n = 9n 9 + 9n = -21 + -3n + 3n Combine like terms: -3n + 3n = 0 9 + 9n = -21 + 0 9 + 9n = -21 Add '-9' to each side of the equation. 9 + -9 + 9n = -21 + -9 Combine like terms: 9 + -9 = 0 0 + 9n = -21 + -9 9n = -21 + -9 Combine like terms: -21 + -9 = -30 9n = -30 Divide each side by '9'. n = -3.333333333 Simplifying n = -3.333333333
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