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Simplifying 8(1 + 5n) = 8(4n + 8) (1 * 8 + 5n * 8) = 8(4n + 8) (8 + 40n) = 8(4n + 8) Reorder the terms: 8 + 40n = 8(8 + 4n) 8 + 40n = (8 * 8 + 4n * 8) 8 + 40n = (64 + 32n) Solving 8 + 40n = 64 + 32n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-32n' to each side of the equation. 8 + 40n + -32n = 64 + 32n + -32n Combine like terms: 40n + -32n = 8n 8 + 8n = 64 + 32n + -32n Combine like terms: 32n + -32n = 0 8 + 8n = 64 + 0 8 + 8n = 64 Add '-8' to each side of the equation. 8 + -8 + 8n = 64 + -8 Combine like terms: 8 + -8 = 0 0 + 8n = 64 + -8 8n = 64 + -8 Combine like terms: 64 + -8 = 56 8n = 56 Divide each side by '8'. n = 7 Simplifying n = 7
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