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