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Simplifying 3n + 5 = 77 + -9n Reorder the terms: 5 + 3n = 77 + -9n Solving 5 + 3n = 77 + -9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '9n' to each side of the equation. 5 + 3n + 9n = 77 + -9n + 9n Combine like terms: 3n + 9n = 12n 5 + 12n = 77 + -9n + 9n Combine like terms: -9n + 9n = 0 5 + 12n = 77 + 0 5 + 12n = 77 Add '-5' to each side of the equation. 5 + -5 + 12n = 77 + -5 Combine like terms: 5 + -5 = 0 0 + 12n = 77 + -5 12n = 77 + -5 Combine like terms: 77 + -5 = 72 12n = 72 Divide each side by '12'. n = 6 Simplifying n = 6
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