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Simplifying 6n + 17 = 12n + 5 Reorder the terms: 17 + 6n = 12n + 5 Reorder the terms: 17 + 6n = 5 + 12n Solving 17 + 6n = 5 + 12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-12n' to each side of the equation. 17 + 6n + -12n = 5 + 12n + -12n Combine like terms: 6n + -12n = -6n 17 + -6n = 5 + 12n + -12n Combine like terms: 12n + -12n = 0 17 + -6n = 5 + 0 17 + -6n = 5 Add '-17' to each side of the equation. 17 + -17 + -6n = 5 + -17 Combine like terms: 17 + -17 = 0 0 + -6n = 5 + -17 -6n = 5 + -17 Combine like terms: 5 + -17 = -12 -6n = -12 Divide each side by '-6'. n = 2 Simplifying n = 2
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