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Simplifying R(n) = (120 + -6n)(80 + 8n) Multiply R * n nR = (120 + -6n)(80 + 8n) Multiply (120 + -6n) * (80 + 8n) nR = (120(80 + 8n) + -6n * (80 + 8n)) nR = ((80 * 120 + 8n * 120) + -6n * (80 + 8n)) nR = ((9600 + 960n) + -6n * (80 + 8n)) nR = (9600 + 960n + (80 * -6n + 8n * -6n)) nR = (9600 + 960n + (-480n + -48n2)) Combine like terms: 960n + -480n = 480n nR = (9600 + 480n + -48n2) Solving nR = 9600 + 480n + -48n2 Solving for variable 'n'. Reorder the terms: -9600 + -480n + nR + 48n2 = 9600 + 480n + -48n2 + -9600 + -480n + 48n2 Reorder the terms: -9600 + -480n + nR + 48n2 = 9600 + -9600 + 480n + -480n + -48n2 + 48n2 Combine like terms: 9600 + -9600 = 0 -9600 + -480n + nR + 48n2 = 0 + 480n + -480n + -48n2 + 48n2 -9600 + -480n + nR + 48n2 = 480n + -480n + -48n2 + 48n2 Combine like terms: 480n + -480n = 0 -9600 + -480n + nR + 48n2 = 0 + -48n2 + 48n2 -9600 + -480n + nR + 48n2 = -48n2 + 48n2 Combine like terms: -48n2 + 48n2 = 0 -9600 + -480n + nR + 48n2 = 0 The solution to this equation could not be determined.
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