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Simplifying 6n + 21 = 4n + 1 Reorder the terms: 21 + 6n = 4n + 1 Reorder the terms: 21 + 6n = 1 + 4n Solving 21 + 6n = 1 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. 21 + 6n + -4n = 1 + 4n + -4n Combine like terms: 6n + -4n = 2n 21 + 2n = 1 + 4n + -4n Combine like terms: 4n + -4n = 0 21 + 2n = 1 + 0 21 + 2n = 1 Add '-21' to each side of the equation. 21 + -21 + 2n = 1 + -21 Combine like terms: 21 + -21 = 0 0 + 2n = 1 + -21 2n = 1 + -21 Combine like terms: 1 + -21 = -20 2n = -20 Divide each side by '2'. n = -10 Simplifying n = -10
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