A bridge is balanced when two divider nodes have the same exact voltage. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.
highlighted = computed this step
The left divider output is exact
The left divider output is 8 volts.
Vleft=8V
The right divider output matches
The right divider output is also 8 volts, so the bridge meter reads 0 volts. The bridge voltmeter is ideal and does not load the bridge.