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Simplifying 3n + 4 = 46 + -4n Reorder the terms: 4 + 3n = 46 + -4n Solving 4 + 3n = 46 + -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. 4 + 3n + 4n = 46 + -4n + 4n Combine like terms: 3n + 4n = 7n 4 + 7n = 46 + -4n + 4n Combine like terms: -4n + 4n = 0 4 + 7n = 46 + 0 4 + 7n = 46 Add '-4' to each side of the equation. 4 + -4 + 7n = 46 + -4 Combine like terms: 4 + -4 = 0 0 + 7n = 46 + -4 7n = 46 + -4 Combine like terms: 46 + -4 = 42 7n = 42 Divide each side by '7'. n = 6 Simplifying n = 6
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