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Simplifying c(q) * 6000 + 10qR(q) = 12q Reorder the terms for easier multiplication: 6000c * q + 10qR(q) = 12q Multiply c * q 6000cq + 10qR(q) = 12q Multiply qR * q 6000cq + 10q2R = 12q Solving 6000cq + 10q2R = 12q Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-10q2R' to each side of the equation. 6000cq + 10q2R + -10q2R = 12q + -10q2R Combine like terms: 10q2R + -10q2R = 0 6000cq + 0 = 12q + -10q2R 6000cq = 12q + -10q2R Divide each side by '6000q'. c = 0.002 + -0.001666666667qR Simplifying c = 0.002 + -0.001666666667qR
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