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Simplifying 3n + 2 + 4n + 3 = 47 Reorder the terms: 2 + 3 + 3n + 4n = 47 Combine like terms: 2 + 3 = 5 5 + 3n + 4n = 47 Combine like terms: 3n + 4n = 7n 5 + 7n = 47 Solving 5 + 7n = 47 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 7n = 47 + -5 Combine like terms: 5 + -5 = 0 0 + 7n = 47 + -5 7n = 47 + -5 Combine like terms: 47 + -5 = 42 7n = 42 Divide each side by '7'. n = 6 Simplifying n = 6
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