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