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Simplifying 3n + 2 + 4n + 1 = 38 Reorder the terms: 2 + 1 + 3n + 4n = 38 Combine like terms: 2 + 1 = 3 3 + 3n + 4n = 38 Combine like terms: 3n + 4n = 7n 3 + 7n = 38 Solving 3 + 7n = 38 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 7n = 38 + -3 Combine like terms: 3 + -3 = 0 0 + 7n = 38 + -3 7n = 38 + -3 Combine like terms: 38 + -3 = 35 7n = 35 Divide each side by '7'. n = 5 Simplifying n = 5
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