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Simplifying 7n + 9 = 5n + 21 Reorder the terms: 9 + 7n = 5n + 21 Reorder the terms: 9 + 7n = 21 + 5n Solving 9 + 7n = 21 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. 9 + 7n + -5n = 21 + 5n + -5n Combine like terms: 7n + -5n = 2n 9 + 2n = 21 + 5n + -5n Combine like terms: 5n + -5n = 0 9 + 2n = 21 + 0 9 + 2n = 21 Add '-9' to each side of the equation. 9 + -9 + 2n = 21 + -9 Combine like terms: 9 + -9 = 0 0 + 2n = 21 + -9 2n = 21 + -9 Combine like terms: 21 + -9 = 12 2n = 12 Divide each side by '2'. n = 6 Simplifying n = 6
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