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Simplifying 9n + 6 = 4n + 21 Reorder the terms: 6 + 9n = 4n + 21 Reorder the terms: 6 + 9n = 21 + 4n Solving 6 + 9n = 21 + 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. 6 + 9n + -4n = 21 + 4n + -4n Combine like terms: 9n + -4n = 5n 6 + 5n = 21 + 4n + -4n Combine like terms: 4n + -4n = 0 6 + 5n = 21 + 0 6 + 5n = 21 Add '-6' to each side of the equation. 6 + -6 + 5n = 21 + -6 Combine like terms: 6 + -6 = 0 0 + 5n = 21 + -6 5n = 21 + -6 Combine like terms: 21 + -6 = 15 5n = 15 Divide each side by '5'. n = 3 Simplifying n = 3
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