Wait I'm confused I thought it was damage plus net hits. How does that other stuff apply? Like negative from wide bursts and what not? I thought that doesn't apply. Only AP.
Kirk's numbers look right up until the end when he get's the spirit's armor wrong. Your confusion is because he's sometimes just saying the wrong words when he explains where those numbers came from. To clarify:
Assume a dicepool of 24 after all modifications have been taken into account. On average 24 dice will generate 8 hits.
A force 12 SPIRIT (not sprite) will have a defense of at least 12 dice (realistically we would use 14 or 15), which will be reduced by 9 dice because we are doing a full burst, wide as complex action to attack it.
This means the spirit has 3 dice (unless it chooses to go full defense). On 3 dice, the spirit will generate on average one hit. This reduces our attack's net hits from 8 to 7.
Kirk then mentions "adding 6 from the ammo". Presumably what he meant was the weapon we are using has a base DV of 6 (a typical assault rifle). We add the 7 net hits to the 6 base DV to get our modified DV of 13.
We then compare this modified DV against the spirits modified (hardened) armor of 24 minus 1 for armor penetration (the typical AP value for an assault rifle). 13 is less than 24 so the spirit is only tickled by our attack and proceeds to go about it's business unimpeded.
So that went poorly.
We get a better result with Stick and Shock ammo because it has much more massive armor penetration than regular ammo or tracer ammo. We would be comparing our 13 DV against a hardened armor of 24/2 = 12. So we'd actually hurt the spirit in this case. It then roll body (we'll just go with 12 for simplicity) + 12 (modified armor) for a average of 8 hits against our 13 DV for 5 damage.
We'd almost certainly be better off doing two long bursts, wide instead of single full burst, wide per turn.
Furthermore we probably should be making a called shot against the spirit. We'd drop our attack dice pool from 24 to 20, but our base damage goes from 6S(e) to 10S(e). With S&S's massive AP, we only need two net hits to get past the ItNW on a force 12 spirit.