The red sideband spends one motional packet. 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 sideband cites the trap gap and packet spacing
The trap source has gap 8 joules and spacing 2 joules.
ΔE=8J,hνm=2J
Red sideband subtracts one motional packet from the gap
The drive energy is 6 joules, taking packet 2 to packet 1.