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Simplifying -12 + 6 + 7n = 9n + 8 + -20 Combine like terms: -12 + 6 = -6 -6 + 7n = 9n + 8 + -20 Reorder the terms: -6 + 7n = 8 + -20 + 9n Combine like terms: 8 + -20 = -12 -6 + 7n = -12 + 9n Solving -6 + 7n = -12 + 9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-9n' to each side of the equation. -6 + 7n + -9n = -12 + 9n + -9n Combine like terms: 7n + -9n = -2n -6 + -2n = -12 + 9n + -9n Combine like terms: 9n + -9n = 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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