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Simplifying 12n + -17 = 34 + -5n Reorder the terms: -17 + 12n = 34 + -5n Solving -17 + 12n = 34 + -5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '5n' to each side of the equation. -17 + 12n + 5n = 34 + -5n + 5n Combine like terms: 12n + 5n = 17n -17 + 17n = 34 + -5n + 5n Combine like terms: -5n + 5n = 0 -17 + 17n = 34 + 0 -17 + 17n = 34 Add '17' to each side of the equation. -17 + 17 + 17n = 34 + 17 Combine like terms: -17 + 17 = 0 0 + 17n = 34 + 17 17n = 34 + 17 Combine like terms: 34 + 17 = 51 17n = 51 Divide each side by '17'. n = 3 Simplifying n = 3
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