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Simplifying 10n + 9 = 6n + 21 Reorder the terms: 9 + 10n = 6n + 21 Reorder the terms: 9 + 10n = 21 + 6n Solving 9 + 10n = 21 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. 9 + 10n + -6n = 21 + 6n + -6n Combine like terms: 10n + -6n = 4n 9 + 4n = 21 + 6n + -6n Combine like terms: 6n + -6n = 0 9 + 4n = 21 + 0 9 + 4n = 21 Add '-9' to each side of the equation. 9 + -9 + 4n = 21 + -9 Combine like terms: 9 + -9 = 0 0 + 4n = 21 + -9 4n = 21 + -9 Combine like terms: 21 + -9 = 12 4n = 12 Divide each side by '4'. n = 3 Simplifying n = 3
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