This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.

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Answer
8.0 \times 10^{-6}$ C (left charge)
My apologies, Mukamwiza. I noticed an error in the charge value for from the problem description. The text states "a C charge", not C as I initially interpreted from the diagram label. Let's correct that and complete the calculation.
Let the charges be: C (left charge) C (middle charge) C (right charge, as stated in the problem text)
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My apologies, Mukamwiza. I noticed an error in the charge value for q_3 from the problem description.
This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.