Chapter 27 - Circuits - Problems - Page 797: 31a

$V_1 = -11~V$

We can combine the two resistors in parallel into the equivalent resistance of $1.0~\Omega$ We can assume that the current flows counterclockwise. We can use the loop rule to find the current: $12-i-2i-2i-5.0-2i = 0$ $7i = 7.0$ $i = 1.0~A$ We can start at ground and move to the point marked $V_1$: $V_1 = 0+(1.0~A)(1.0~\Omega)-12~V$ $V_1 = -11~V$