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Simplifying 8(n + 7) + 3(n + -1) = 0 Reorder the terms: 8(7 + n) + 3(n + -1) = 0 (7 * 8 + n * 8) + 3(n + -1) = 0 (56 + 8n) + 3(n + -1) = 0 Reorder the terms: 56 + 8n + 3(-1 + n) = 0 56 + 8n + (-1 * 3 + n * 3) = 0 56 + 8n + (-3 + 3n) = 0 Reorder the terms: 56 + -3 + 8n + 3n = 0 Combine like terms: 56 + -3 = 53 53 + 8n + 3n = 0 Combine like terms: 8n + 3n = 11n 53 + 11n = 0 Solving 53 + 11n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-53' to each side of the equation. 53 + -53 + 11n = 0 + -53 Combine like terms: 53 + -53 = 0 0 + 11n = 0 + -53 11n = 0 + -53 Combine like terms: 0 + -53 = -53 11n = -53 Divide each side by '11'. n = -4.818181818 Simplifying n = -4.818181818
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