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Simplifying 6n + 9 = -3 + -21 + -6n Reorder the terms: 9 + 6n = -3 + -21 + -6n Combine like terms: -3 + -21 = -24 9 + 6n = -24 + -6n Solving 9 + 6n = -24 + -6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6n' to each side of the equation. 9 + 6n + 6n = -24 + -6n + 6n Combine like terms: 6n + 6n = 12n 9 + 12n = -24 + -6n + 6n Combine like terms: -6n + 6n = 0 9 + 12n = -24 + 0 9 + 12n = -24 Add '-9' to each side of the equation. 9 + -9 + 12n = -24 + -9 Combine like terms: 9 + -9 = 0 0 + 12n = -24 + -9 12n = -24 + -9 Combine like terms: -24 + -9 = -33 12n = -33 Divide each side by '12'. n = -2.75 Simplifying n = -2.75
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