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Simplifying 12n + 50 = 9n + 71 Reorder the terms: 50 + 12n = 9n + 71 Reorder the terms: 50 + 12n = 71 + 9n Solving 50 + 12n = 71 + 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. 50 + 12n + -9n = 71 + 9n + -9n Combine like terms: 12n + -9n = 3n 50 + 3n = 71 + 9n + -9n Combine like terms: 9n + -9n = 0 50 + 3n = 71 + 0 50 + 3n = 71 Add '-50' to each side of the equation. 50 + -50 + 3n = 71 + -50 Combine like terms: 50 + -50 = 0 0 + 3n = 71 + -50 3n = 71 + -50 Combine like terms: 71 + -50 = 21 3n = 21 Divide each side by '3'. n = 7 Simplifying n = 7
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