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The colored regions in the figure below represent four three-dimensional Gaussian surfaces A through D. The regions may also contain three charged particles, with $q_1 = +4.20 \text{ nC}$, $q_2 = -4.20 \text{ nC}$, and $q_3 = +7.30 \text{ nC}$, that are nearby as shown. What is the electric flux through each of the four surfaces? Note: A charge is within a region if it is located inside the perimeter shown for that region.
$\Phi_{E,A} = $ _______ $\text{ N} \cdot \text{m}^2/\text{C}$
$\Phi_{E,B} = $ _______ $\text{ N} \cdot \text{m}^2/\text{C}$
$\Phi_{E,C} = $ _______ $\text{ N} \cdot \text{m}^2/\text{C}$
$\Phi_{E,D} = $ _______ $\text{ N} \cdot \text{m}^2/\text{C}$