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Simplifying 4 + 12n + -2 = 9n + 42 + -2n Reorder the terms: 4 + -2 + 12n = 9n + 42 + -2n Combine like terms: 4 + -2 = 2 2 + 12n = 9n + 42 + -2n Reorder the terms: 2 + 12n = 42 + 9n + -2n Combine like terms: 9n + -2n = 7n 2 + 12n = 42 + 7n Solving 2 + 12n = 42 + 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. 2 + 12n + -7n = 42 + 7n + -7n Combine like terms: 12n + -7n = 5n 2 + 5n = 42 + 7n + -7n Combine like terms: 7n + -7n = 0 2 + 5n = 42 + 0 2 + 5n = 42 Add '-2' to each side of the equation. 2 + -2 + 5n = 42 + -2 Combine like terms: 2 + -2 = 0 0 + 5n = 42 + -2 5n = 42 + -2 Combine like terms: 42 + -2 = 40 5n = 40 Divide each side by '5'. n = 8 Simplifying n = 8
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