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Simplifying 4(n + 7) + 8(n + 9) = 0 Reorder the terms: 4(7 + n) + 8(n + 9) = 0 (7 * 4 + n * 4) + 8(n + 9) = 0 (28 + 4n) + 8(n + 9) = 0 Reorder the terms: 28 + 4n + 8(9 + n) = 0 28 + 4n + (9 * 8 + n * 8) = 0 28 + 4n + (72 + 8n) = 0 Reorder the terms: 28 + 72 + 4n + 8n = 0 Combine like terms: 28 + 72 = 100 100 + 4n + 8n = 0 Combine like terms: 4n + 8n = 12n 100 + 12n = 0 Solving 100 + 12n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-100' to each side of the equation. 100 + -100 + 12n = 0 + -100 Combine like terms: 100 + -100 = 0 0 + 12n = 0 + -100 12n = 0 + -100 Combine like terms: 0 + -100 = -100 12n = -100 Divide each side by '12'. n = -8.333333333 Simplifying n = -8.333333333
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