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Simplifying 2(2n + 4) = 8(9n + 9) + 9 Reorder the terms: 2(4 + 2n) = 8(9n + 9) + 9 (4 * 2 + 2n * 2) = 8(9n + 9) + 9 (8 + 4n) = 8(9n + 9) + 9 Reorder the terms: 8 + 4n = 8(9 + 9n) + 9 8 + 4n = (9 * 8 + 9n * 8) + 9 8 + 4n = (72 + 72n) + 9 Reorder the terms: 8 + 4n = 72 + 9 + 72n Combine like terms: 72 + 9 = 81 8 + 4n = 81 + 72n Solving 8 + 4n = 81 + 72n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-72n' to each side of the equation. 8 + 4n + -72n = 81 + 72n + -72n Combine like terms: 4n + -72n = -68n 8 + -68n = 81 + 72n + -72n Combine like terms: 72n + -72n = 0 8 + -68n = 81 + 0 8 + -68n = 81 Add '-8' to each side of the equation. 8 + -8 + -68n = 81 + -8 Combine like terms: 8 + -8 = 0 0 + -68n = 81 + -8 -68n = 81 + -8 Combine like terms: 81 + -8 = 73 -68n = 73 Divide each side by '-68'. n = -1.073529412 Simplifying n = -1.073529412
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