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Simplifying 9 + 12n + -8 = 9n + 41 + -2n Reorder the terms: 9 + -8 + 12n = 9n + 41 + -2n Combine like terms: 9 + -8 = 1 1 + 12n = 9n + 41 + -2n Reorder the terms: 1 + 12n = 41 + 9n + -2n Combine like terms: 9n + -2n = 7n 1 + 12n = 41 + 7n Solving 1 + 12n = 41 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. 1 + 12n + -7n = 41 + 7n + -7n Combine like terms: 12n + -7n = 5n 1 + 5n = 41 + 7n + -7n Combine like terms: 7n + -7n = 0 1 + 5n = 41 + 0 1 + 5n = 41 Add '-1' to each side of the equation. 1 + -1 + 5n = 41 + -1 Combine like terms: 1 + -1 = 0 0 + 5n = 41 + -1 5n = 41 + -1 Combine like terms: 41 + -1 = 40 5n = 40 Divide each side by '5'. n = 8 Simplifying n = 8
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