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Simplifying 7(3n + 5) = 9(8n + 6) + 3 Reorder the terms: 7(5 + 3n) = 9(8n + 6) + 3 (5 * 7 + 3n * 7) = 9(8n + 6) + 3 (35 + 21n) = 9(8n + 6) + 3 Reorder the terms: 35 + 21n = 9(6 + 8n) + 3 35 + 21n = (6 * 9 + 8n * 9) + 3 35 + 21n = (54 + 72n) + 3 Reorder the terms: 35 + 21n = 54 + 3 + 72n Combine like terms: 54 + 3 = 57 35 + 21n = 57 + 72n Solving 35 + 21n = 57 + 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. 35 + 21n + -72n = 57 + 72n + -72n Combine like terms: 21n + -72n = -51n 35 + -51n = 57 + 72n + -72n Combine like terms: 72n + -72n = 0 35 + -51n = 57 + 0 35 + -51n = 57 Add '-35' to each side of the equation. 35 + -35 + -51n = 57 + -35 Combine like terms: 35 + -35 = 0 0 + -51n = 57 + -35 -51n = 57 + -35 Combine like terms: 57 + -35 = 22 -51n = 22 Divide each side by '-51'. n = -0.431372549 Simplifying n = -0.431372549
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