The bars represent absolute value, where the outcome is always positive: NEVER negative, so whatever is solved in between the bars will come out positive.
This problem is similar to factoring (e.g. 6(2x+3) = 12x+18).
-3 * 1 = -3
-3 * -2/3v = 2v
|-3 + 2v| = -9
= 3 + 2v = -9
3 - 3 + 2v = -9 - 3 (whatever you do to one side of the equation, you must do to the other)
= 2v = -12
2v/2 = -12/2
v= -6
Your final answer is v = -6
