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Simplifying 4(n + 1) + 8(n + 7) = 0 Reorder the terms: 4(1 + n) + 8(n + 7) = 0 (1 * 4 + n * 4) + 8(n + 7) = 0 (4 + 4n) + 8(n + 7) = 0 Reorder the terms: 4 + 4n + 8(7 + n) = 0 4 + 4n + (7 * 8 + n * 8) = 0 4 + 4n + (56 + 8n) = 0 Reorder the terms: 4 + 56 + 4n + 8n = 0 Combine like terms: 4 + 56 = 60 60 + 4n + 8n = 0 Combine like terms: 4n + 8n = 12n 60 + 12n = 0 Solving 60 + 12n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-60' to each side of the equation. 60 + -60 + 12n = 0 + -60 Combine like terms: 60 + -60 = 0 0 + 12n = 0 + -60 12n = 0 + -60 Combine like terms: 0 + -60 = -60 12n = -60 Divide each side by '12'. n = -5 Simplifying n = -5
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