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Simplifying 3(3n + 4) = 8(8n + 1) + 4 Reorder the terms: 3(4 + 3n) = 8(8n + 1) + 4 (4 * 3 + 3n * 3) = 8(8n + 1) + 4 (12 + 9n) = 8(8n + 1) + 4 Reorder the terms: 12 + 9n = 8(1 + 8n) + 4 12 + 9n = (1 * 8 + 8n * 8) + 4 12 + 9n = (8 + 64n) + 4 Reorder the terms: 12 + 9n = 8 + 4 + 64n Combine like terms: 8 + 4 = 12 12 + 9n = 12 + 64n Add '-12' to each side of the equation. 12 + -12 + 9n = 12 + -12 + 64n Combine like terms: 12 + -12 = 0 0 + 9n = 12 + -12 + 64n 9n = 12 + -12 + 64n Combine like terms: 12 + -12 = 0 9n = 0 + 64n 9n = 64n Solving 9n = 64n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-64n' to each side of the equation. 9n + -64n = 64n + -64n Combine like terms: 9n + -64n = -55n -55n = 64n + -64n Combine like terms: 64n + -64n = 0 -55n = 0 Divide each side by '-55'. n = 0 Simplifying n = 0
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