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Simplifying 5n + -2n + 12 = 35 + -4n + -5 Reorder the terms: 12 + 5n + -2n = 35 + -4n + -5 Combine like terms: 5n + -2n = 3n 12 + 3n = 35 + -4n + -5 Reorder the terms: 12 + 3n = 35 + -5 + -4n Combine like terms: 35 + -5 = 30 12 + 3n = 30 + -4n Solving 12 + 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. 12 + 3n + 4n = 30 + -4n + 4n Combine like terms: 3n + 4n = 7n 12 + 7n = 30 + -4n + 4n Combine like terms: -4n + 4n = 0 12 + 7n = 30 + 0 12 + 7n = 30 Add '-12' to each side of the equation. 12 + -12 + 7n = 30 + -12 Combine like terms: 12 + -12 = 0 0 + 7n = 30 + -12 7n = 30 + -12 Combine like terms: 30 + -12 = 18 7n = 18 Divide each side by '7'. n = 2.571428571 Simplifying n = 2.571428571
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