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Simplifying 6n + 21 = 3n + 51 Reorder the terms: 21 + 6n = 3n + 51 Reorder the terms: 21 + 6n = 51 + 3n Solving 21 + 6n = 51 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. 21 + 6n + -3n = 51 + 3n + -3n Combine like terms: 6n + -3n = 3n 21 + 3n = 51 + 3n + -3n Combine like terms: 3n + -3n = 0 21 + 3n = 51 + 0 21 + 3n = 51 Add '-21' to each side of the equation. 21 + -21 + 3n = 51 + -21 Combine like terms: 21 + -21 = 0 0 + 3n = 51 + -21 3n = 51 + -21 Combine like terms: 51 + -21 = 30 3n = 30 Divide each side by '3'. n = 10 Simplifying n = 10
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