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Simplifying [8(n + 5) + -16] = 0 Reorder the terms: [8(5 + n) + -16] = 0 [(5 * 8 + n * 8) + -16] = 0 [(40 + 8n) + -16] = 0 Reorder the terms: [40 + -16 + 8n] = 0 Combine like terms: 40 + -16 = 24 [24 + 8n] = 0 Remove brackets around [24 + 8n] 24 + 8n = 0 Solving 24 + 8n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 8n = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 8n = 0 + -24 8n = 0 + -24 Combine like terms: 0 + -24 = -24 8n = -24 Divide each side by '8'. n = -3 Simplifying n = -3
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