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Simplifying 8(n + 3) + 8(n + 5) = 0 Reorder the terms: 8(3 + n) + 8(n + 5) = 0 (3 * 8 + n * 8) + 8(n + 5) = 0 (24 + 8n) + 8(n + 5) = 0 Reorder the terms: 24 + 8n + 8(5 + n) = 0 24 + 8n + (5 * 8 + n * 8) = 0 24 + 8n + (40 + 8n) = 0 Reorder the terms: 24 + 40 + 8n + 8n = 0 Combine like terms: 24 + 40 = 64 64 + 8n + 8n = 0 Combine like terms: 8n + 8n = 16n 64 + 16n = 0 Solving 64 + 16n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-64' to each side of the equation. 64 + -64 + 16n = 0 + -64 Combine like terms: 64 + -64 = 0 0 + 16n = 0 + -64 16n = 0 + -64 Combine like terms: 0 + -64 = -64 16n = -64 Divide each side by '16'. n = -4 Simplifying n = -4
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