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Simplifying 7(3n + 4) = 9(8n + 8) + 1 Reorder the terms: 7(4 + 3n) = 9(8n + 8) + 1 (4 * 7 + 3n * 7) = 9(8n + 8) + 1 (28 + 21n) = 9(8n + 8) + 1 Reorder the terms: 28 + 21n = 9(8 + 8n) + 1 28 + 21n = (8 * 9 + 8n * 9) + 1 28 + 21n = (72 + 72n) + 1 Reorder the terms: 28 + 21n = 72 + 1 + 72n Combine like terms: 72 + 1 = 73 28 + 21n = 73 + 72n Solving 28 + 21n = 73 + 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 = 73 + 72n + -72n Combine like terms: 21n + -72n = -51n 28 + -51n = 73 + 72n + -72n Combine like terms: 72n + -72n = 0 28 + -51n = 73 + 0 28 + -51n = 73 Add '-28' to each side of the equation. 28 + -28 + -51n = 73 + -28 Combine like terms: 28 + -28 = 0 0 + -51n = 73 + -28 -51n = 73 + -28 Combine like terms: 73 + -28 = 45 -51n = 45 Divide each side by '-51'. n = -0.8823529412 Simplifying n = -0.8823529412
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