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Simplifying 5n + 12n + 21 = 6n + 14n Reorder the terms: 21 + 5n + 12n = 6n + 14n Combine like terms: 5n + 12n = 17n 21 + 17n = 6n + 14n Combine like terms: 6n + 14n = 20n 21 + 17n = 20n Solving 21 + 17n = 20n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-20n' to each side of the equation. 21 + 17n + -20n = 20n + -20n Combine like terms: 17n + -20n = -3n 21 + -3n = 20n + -20n Combine like terms: 20n + -20n = 0 21 + -3n = 0 Add '-21' to each side of the equation. 21 + -21 + -3n = 0 + -21 Combine like terms: 21 + -21 = 0 0 + -3n = 0 + -21 -3n = 0 + -21 Combine like terms: 0 + -21 = -21 -3n = -21 Divide each side by '-3'. n = 7 Simplifying n = 7
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