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Simplifying 12n + 8 = 7n + 38 Reorder the terms: 8 + 12n = 7n + 38 Reorder the terms: 8 + 12n = 38 + 7n Solving 8 + 12n = 38 + 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. 8 + 12n + -7n = 38 + 7n + -7n Combine like terms: 12n + -7n = 5n 8 + 5n = 38 + 7n + -7n Combine like terms: 7n + -7n = 0 8 + 5n = 38 + 0 8 + 5n = 38 Add '-8' to each side of the equation. 8 + -8 + 5n = 38 + -8 Combine like terms: 8 + -8 = 0 0 + 5n = 38 + -8 5n = 38 + -8 Combine like terms: 38 + -8 = 30 5n = 30 Divide each side by '5'. n = 6 Simplifying n = 6
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