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Simplifying 3 + 4n = 7 + -3n Solving 3 + 4n = 7 + -3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3n' to each side of the equation. 3 + 4n + 3n = 7 + -3n + 3n Combine like terms: 4n + 3n = 7n 3 + 7n = 7 + -3n + 3n Combine like terms: -3n + 3n = 0 3 + 7n = 7 + 0 3 + 7n = 7 Add '-3' to each side of the equation. 3 + -3 + 7n = 7 + -3 Combine like terms: 3 + -3 = 0 0 + 7n = 7 + -3 7n = 7 + -3 Combine like terms: 7 + -3 = 4 7n = 4 Divide each side by '7'. n = 0.5714285714 Simplifying n = 0.5714285714
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