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Three charges are arranged in a line as shown in the figure below. The charge on the left has a value $+4q$, the center charge has a value $-q$ and the rightmost charge is an unknown charge $Q$. The distance between the center charge and the charge $+4q$ is $x$ whereas the distance between the center charge and the unknown charge on the right is $2x$.

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Given that the net Coulomb force on the center charge is zero, determine the value of the unknown charge $Q$ in terms of $q$.


$Q = -4 q$


$Q = -16 q$


$Q = + 8 q$


$Q = + 16 q$


$Q = + 12 q$

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