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Simplifying 5n + -2n + 6 = 30 + -4n Reorder the terms: 6 + 5n + -2n = 30 + -4n Combine like terms: 5n + -2n = 3n 6 + 3n = 30 + -4n Solving 6 + 3n = 30 + -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. 6 + 3n + 4n = 30 + -4n + 4n Combine like terms: 3n + 4n = 7n 6 + 7n = 30 + -4n + 4n Combine like terms: -4n + 4n = 0 6 + 7n = 30 + 0 6 + 7n = 30 Add '-6' to each side of the equation. 6 + -6 + 7n = 30 + -6 Combine like terms: 6 + -6 = 0 0 + 7n = 30 + -6 7n = 30 + -6 Combine like terms: 30 + -6 = 24 7n = 24 Divide each side by '7'. n = 3.428571429 Simplifying n = 3.428571429
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