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Simplifying 8(n + 9) + 3(n + -3) = 0 Reorder the terms: 8(9 + n) + 3(n + -3) = 0 (9 * 8 + n * 8) + 3(n + -3) = 0 (72 + 8n) + 3(n + -3) = 0 Reorder the terms: 72 + 8n + 3(-3 + n) = 0 72 + 8n + (-3 * 3 + n * 3) = 0 72 + 8n + (-9 + 3n) = 0 Reorder the terms: 72 + -9 + 8n + 3n = 0 Combine like terms: 72 + -9 = 63 63 + 8n + 3n = 0 Combine like terms: 8n + 3n = 11n 63 + 11n = 0 Solving 63 + 11n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-63' to each side of the equation. 63 + -63 + 11n = 0 + -63 Combine like terms: 63 + -63 = 0 0 + 11n = 0 + -63 11n = 0 + -63 Combine like terms: 0 + -63 = -63 11n = -63 Divide each side by '11'. n = -5.727272727 Simplifying n = -5.727272727
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