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Simplifying 3n + 12 + -6n = -9 Reorder the terms: 12 + 3n + -6n = -9 Combine like terms: 3n + -6n = -3n 12 + -3n = -9 Solving 12 + -3n = -9 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -3n = -9 + -12 Combine like terms: 12 + -12 = 0 0 + -3n = -9 + -12 -3n = -9 + -12 Combine like terms: -9 + -12 = -21 -3n = -21 Divide each side by '-3'. n = 7 Simplifying n = 7
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