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Simplifying 8(3n + 3) = 9(8n + 9) + 9 Reorder the terms: 8(3 + 3n) = 9(8n + 9) + 9 (3 * 8 + 3n * 8) = 9(8n + 9) + 9 (24 + 24n) = 9(8n + 9) + 9 Reorder the terms: 24 + 24n = 9(9 + 8n) + 9 24 + 24n = (9 * 9 + 8n * 9) + 9 24 + 24n = (81 + 72n) + 9 Reorder the terms: 24 + 24n = 81 + 9 + 72n Combine like terms: 81 + 9 = 90 24 + 24n = 90 + 72n Solving 24 + 24n = 90 + 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. 24 + 24n + -72n = 90 + 72n + -72n Combine like terms: 24n + -72n = -48n 24 + -48n = 90 + 72n + -72n Combine like terms: 72n + -72n = 0 24 + -48n = 90 + 0 24 + -48n = 90 Add '-24' to each side of the equation. 24 + -24 + -48n = 90 + -24 Combine like terms: 24 + -24 = 0 0 + -48n = 90 + -24 -48n = 90 + -24 Combine like terms: 90 + -24 = 66 -48n = 66 Divide each side by '-48'. n = -1.375 Simplifying n = -1.375
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