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Simplifying n + -4n = 12 + 2n + 6 + 4n Combine like terms: n + -4n = -3n -3n = 12 + 2n + 6 + 4n Reorder the terms: -3n = 12 + 6 + 2n + 4n Combine like terms: 12 + 6 = 18 -3n = 18 + 2n + 4n Combine like terms: 2n + 4n = 6n -3n = 18 + 6n Solving -3n = 18 + 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. -3n + -6n = 18 + 6n + -6n Combine like terms: -3n + -6n = -9n -9n = 18 + 6n + -6n Combine like terms: 6n + -6n = 0 -9n = 18 + 0 -9n = 18 Divide each side by '-9'. n = -2 Simplifying n = -2
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