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Simplifying 5n + 21 = 3n + 5 Reorder the terms: 21 + 5n = 3n + 5 Reorder the terms: 21 + 5n = 5 + 3n Solving 21 + 5n = 5 + 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 + 5n + -3n = 5 + 3n + -3n Combine like terms: 5n + -3n = 2n 21 + 2n = 5 + 3n + -3n Combine like terms: 3n + -3n = 0 21 + 2n = 5 + 0 21 + 2n = 5 Add '-21' to each side of the equation. 21 + -21 + 2n = 5 + -21 Combine like terms: 21 + -21 = 0 0 + 2n = 5 + -21 2n = 5 + -21 Combine like terms: 5 + -21 = -16 2n = -16 Divide each side by '2'. n = -8 Simplifying n = -8
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