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Simplifying 4(n + 7) + 8(n + 6) = 0 Reorder the terms: 4(7 + n) + 8(n + 6) = 0 (7 * 4 + n * 4) + 8(n + 6) = 0 (28 + 4n) + 8(n + 6) = 0 Reorder the terms: 28 + 4n + 8(6 + n) = 0 28 + 4n + (6 * 8 + n * 8) = 0 28 + 4n + (48 + 8n) = 0 Reorder the terms: 28 + 48 + 4n + 8n = 0 Combine like terms: 28 + 48 = 76 76 + 4n + 8n = 0 Combine like terms: 4n + 8n = 12n 76 + 12n = 0 Solving 76 + 12n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-76' to each side of the equation. 76 + -76 + 12n = 0 + -76 Combine like terms: 76 + -76 = 0 0 + 12n = 0 + -76 12n = 0 + -76 Combine like terms: 0 + -76 = -76 12n = -76 Divide each side by '12'. n = -6.333333333 Simplifying n = -6.333333333
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