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