Guys, don't sweat it.
The splitting rules can be quite tough to navigate, but you're only expected to know the n+1 rule at the year 12 level (NOT the multiplicity rule, which I mention briefly below).
You learn that n = number of H atoms on neighbouring carbons (within 3 bonds of the H atom responsible for the peak), but the caveat is that those H atoms must be in the same environment as one another.
For example, if we take CH3-CH2-COOH, the H atoms that are bolded have 2 H atoms within three bonds (on the neighbouring carbon). Both those H atoms are in the same environment as one another. The CH2 protons have 3 H atoms on the neighbouring carbon (within 3 bonds), all which are on the same environment. You may ask "why is the H in COOH not counted as a neighbour?" The reason is because the H atom there is not within 3 bonds of the H atom in the CH2 group. In any case, the O atom bonded to the H prevents any "communication" between the H in COOH and any other H atom.
Now let's take CH3-CH2-CH2-COOH and focus on the bolded protons. Here, the 5 H atoms are in different environments. This requires the use of the multiplicity rule, which is not taught in year 12. FYI the multiplicity rule states that if n1 is the number of H atoms on one neighbouring carbon, and n2 is the number of H atoms on the other neighbouring carbon, and the two groups of H atoms are in different environments to one another, then the concerned peak will be split into (n1 + 1)(n2 + 1) peaks. In this example, n1 = 3 and n2 = 2. Therefore, the peak corresponding to the bolded protons will be split into 4 x 3 = 12.
HOWEVER you will not be given NMR spectra of substances where you need to apply the multiplicity rule at VCE level.