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Simplifying 9n + 2 + -12n = 4n + 8 + -6n Reorder the terms: 2 + 9n + -12n = 4n + 8 + -6n Combine like terms: 9n + -12n = -3n 2 + -3n = 4n + 8 + -6n Reorder the terms: 2 + -3n = 8 + 4n + -6n Combine like terms: 4n + -6n = -2n 2 + -3n = 8 + -2n Solving 2 + -3n = 8 + -2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2n' to each side of the equation. 2 + -3n + 2n = 8 + -2n + 2n Combine like terms: -3n + 2n = -1n 2 + -1n = 8 + -2n + 2n Combine like terms: -2n + 2n = 0 2 + -1n = 8 + 0 2 + -1n = 8 Add '-2' to each side of the equation. 2 + -2 + -1n = 8 + -2 Combine like terms: 2 + -2 = 0 0 + -1n = 8 + -2 -1n = 8 + -2 Combine like terms: 8 + -2 = 6 -1n = 6 Divide each side by '-1'. n = -6 Simplifying n = -6
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