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Simplifying 7(3n + 4) = 8(8n + 4) + 8 Reorder the terms: 7(4 + 3n) = 8(8n + 4) + 8 (4 * 7 + 3n * 7) = 8(8n + 4) + 8 (28 + 21n) = 8(8n + 4) + 8 Reorder the terms: 28 + 21n = 8(4 + 8n) + 8 28 + 21n = (4 * 8 + 8n * 8) + 8 28 + 21n = (32 + 64n) + 8 Reorder the terms: 28 + 21n = 32 + 8 + 64n Combine like terms: 32 + 8 = 40 28 + 21n = 40 + 64n Solving 28 + 21n = 40 + 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. 28 + 21n + -64n = 40 + 64n + -64n Combine like terms: 21n + -64n = -43n 28 + -43n = 40 + 64n + -64n Combine like terms: 64n + -64n = 0 28 + -43n = 40 + 0 28 + -43n = 40 Add '-28' to each side of the equation. 28 + -28 + -43n = 40 + -28 Combine like terms: 28 + -28 = 0 0 + -43n = 40 + -28 -43n = 40 + -28 Combine like terms: 40 + -28 = 12 -43n = 12 Divide each side by '-43'. n = -0.2790697674 Simplifying n = -0.2790697674
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