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Simplifying 7(3n + 4) = 9(8n + 5) + 9 Reorder the terms: 7(4 + 3n) = 9(8n + 5) + 9 (4 * 7 + 3n * 7) = 9(8n + 5) + 9 (28 + 21n) = 9(8n + 5) + 9 Reorder the terms: 28 + 21n = 9(5 + 8n) + 9 28 + 21n = (5 * 9 + 8n * 9) + 9 28 + 21n = (45 + 72n) + 9 Reorder the terms: 28 + 21n = 45 + 9 + 72n Combine like terms: 45 + 9 = 54 28 + 21n = 54 + 72n Solving 28 + 21n = 54 + 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. 28 + 21n + -72n = 54 + 72n + -72n Combine like terms: 21n + -72n = -51n 28 + -51n = 54 + 72n + -72n Combine like terms: 72n + -72n = 0 28 + -51n = 54 + 0 28 + -51n = 54 Add '-28' to each side of the equation. 28 + -28 + -51n = 54 + -28 Combine like terms: 28 + -28 = 0 0 + -51n = 54 + -28 -51n = 54 + -28 Combine like terms: 54 + -28 = 26 -51n = 26 Divide each side by '-51'. n = -0.5098039216 Simplifying n = -0.5098039216
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