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Simplifying 7(n + 6) + 8(n + 4) = 0 Reorder the terms: 7(6 + n) + 8(n + 4) = 0 (6 * 7 + n * 7) + 8(n + 4) = 0 (42 + 7n) + 8(n + 4) = 0 Reorder the terms: 42 + 7n + 8(4 + n) = 0 42 + 7n + (4 * 8 + n * 8) = 0 42 + 7n + (32 + 8n) = 0 Reorder the terms: 42 + 32 + 7n + 8n = 0 Combine like terms: 42 + 32 = 74 74 + 7n + 8n = 0 Combine like terms: 7n + 8n = 15n 74 + 15n = 0 Solving 74 + 15n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-74' to each side of the equation. 74 + -74 + 15n = 0 + -74 Combine like terms: 74 + -74 = 0 0 + 15n = 0 + -74 15n = 0 + -74 Combine like terms: 0 + -74 = -74 15n = -74 Divide each side by '15'. n = -4.933333333 Simplifying n = -4.933333333
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