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Simplifying 5n + -2n + 12 = 35 + -4n + -9 Reorder the terms: 12 + 5n + -2n = 35 + -4n + -9 Combine like terms: 5n + -2n = 3n 12 + 3n = 35 + -4n + -9 Reorder the terms: 12 + 3n = 35 + -9 + -4n Combine like terms: 35 + -9 = 26 12 + 3n = 26 + -4n Solving 12 + 3n = 26 + -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 = 26 + -4n + 4n Combine like terms: 3n + 4n = 7n 12 + 7n = 26 + -4n + 4n Combine like terms: -4n + 4n = 0 12 + 7n = 26 + 0 12 + 7n = 26 Add '-12' to each side of the equation. 12 + -12 + 7n = 26 + -12 Combine like terms: 12 + -12 = 0 0 + 7n = 26 + -12 7n = 26 + -12 Combine like terms: 26 + -12 = 14 7n = 14 Divide each side by '7'. n = 2 Simplifying n = 2
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