One piece at a time:
4(p+2) means 4 times everything inside the parentheses.
That's
4(p) + 4(2) = 4p + 8 .
3(2p-3) means 3 times everything inside the parentheses.
That's
3(2p) + 3(-3) = 6p - 9 .
Now add everything up:
4p + 8 + 6p - 9 .
Add all the p's together: 4p + 6p = 10p
Add all the plain numbers together: 8 - 9 = -1
The final result is: 10p - 1 .