How to deal with CAPM in WCCA

So I faced the following problem which I will try to explain with 2 examples:

The CAPM formula is: Ke = Rf + ? (Rm – Rf)
where:

Ke = cost of equity
Rm = return of the market
Rf = risk-free rate of return
(Rm – Rf) = equity risk premium
? = beta value of ordinary share

In the firts example, presented in presentation by teacher he solve it like this

Establish beta value e.g. 1.2
Obtain risk premium data for the company and industry sector e.g. 8%
Ascertain risk free cost of capital e.g. 3%
Ke = 3% + 1.2( 8%) = 9.9%

My question here is why he igrnored the (Rm – Rf) and multiplied beta by 8% and not by 5% ?

I also found similar example in google:

If the risk-free rate is 3%, the expected market risk premium is 5%, and the company’s stock beta is 1.2, what is the company’s cost of equity?
Solution:
Cost of equity = 0.03 + (1.2 × 0.05) = 0.03 + 0.06 = 0.09, or 9%

Again, ignore of (Rm-Rf) – why?

While the 3rd example shows the things as I believe that have to be:

Getting beta from equivalent stand-alone traded firms: e.g., ? =1.4
Calculating expected rate of return (the “hurdle rate”):
e.g., rf = 5%, E(rM)=13%
So: E(rproject) = 0.05 + 1.4 (0.13-0.05) = 16.2%

I will be very greatefull if somebody is able to explain me that differennce and what caused it?
Thank you in advance.