A real source resistance and a load resistance form an exact voltage divider. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.
highlighted = computed this step
Source and load resistances set one current
The source resistance is 2 ohm and the load is 6 ohm, so the current is 2 amperes.
I=Rs+RLV=2A
The two voltage drops close the budget
The source resistor drops 4 volts and the load keeps 12 volts.