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While it may be really simple, let's apply the loop rule... to see that the rule really works [and so I can try to draw a circuit :cool: ].
(Assume that we traverse the loop clockwise, which defines our choice of "positive current" [akin to choosing an axis].)
\begin{align*}
0&=(V_B-V_A) + (V_D-V_B) + (V_E-V_D)+ (V_C-V_E)+ (V_A-V_E)\\
&=(-I_1R_1)+(V_1)+(-I_2R_2)+(V_2)+(-I_3R_3)\\
\intertext{in series, the currents are equal}
&=(-IR_1)+(V_1)+(-IR_2)+(V_2)+(-IR_3)\\
&=-I(R_1+R_2+R_3)+(V_1+V_2)\\
\end{align*}
Now, solve for the current I.
I think the original poster meant "magnitude and direction" of the current.
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