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Simplifying 8(n + 10) = 64 + -8n Reorder the terms: 8(10 + n) = 64 + -8n (10 * 8 + n * 8) = 64 + -8n (80 + 8n) = 64 + -8n Solving 80 + 8n = 64 + -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. 80 + 8n + 8n = 64 + -8n + 8n Combine like terms: 8n + 8n = 16n 80 + 16n = 64 + -8n + 8n Combine like terms: -8n + 8n = 0 80 + 16n = 64 + 0 80 + 16n = 64 Add '-80' to each side of the equation. 80 + -80 + 16n = 64 + -80 Combine like terms: 80 + -80 = 0 0 + 16n = 64 + -80 16n = 64 + -80 Combine like terms: 64 + -80 = -16 16n = -16 Divide each side by '16'. n = -1 Simplifying n = -1
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