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Simplifying 8(4n + 5) = -32 + 8n Reorder the terms: 8(5 + 4n) = -32 + 8n (5 * 8 + 4n * 8) = -32 + 8n (40 + 32n) = -32 + 8n Solving 40 + 32n = -32 + 8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8n' to each side of the equation. 40 + 32n + -8n = -32 + 8n + -8n Combine like terms: 32n + -8n = 24n 40 + 24n = -32 + 8n + -8n Combine like terms: 8n + -8n = 0 40 + 24n = -32 + 0 40 + 24n = -32 Add '-40' to each side of the equation. 40 + -40 + 24n = -32 + -40 Combine like terms: 40 + -40 = 0 0 + 24n = -32 + -40 24n = -32 + -40 Combine like terms: -32 + -40 = -72 24n = -72 Divide each side by '24'. n = -3 Simplifying n = -3
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