You may want to read the dalvik bytecode doc's since they are more detailed then the documentation you can find about smali.
Anyway, I am also in the process of learning smali so, probably, I can't give you the best answer but maybe this will help.
Let's start by looking at what iput does:
iput vx,vy, field_id
Puts vx into an instance field. The instance is referenced by vy.
source: http://pallergabor.uw.hu/androidblog/dalvik_opcodes.html from the dalvik opcodes
The same happens here. You are affecting the v2 register with the v0 register. That being said the change you made was misguided. You changed the 'I' to '10' but that is not a value. The I means integer in this case. Furthermore, this is not even the place where you want to make a change in your code. Let's see:
const-string v0, "get_value_one"
the reg v0 now has the value of the string "get_value_one" (value may not be the best word to describe it since it is a string but I think i get my point across)
invoke-virtual {p0, v0}, Lorg/json/JSONObject;->getInt(Ljava/lang/String;)I
move-result v0
now you invoked the method getInt(String) on the JSONObject that you receive via parameter. You know this since the {p0, v0} means that you are passing v0 to the method of the object referenced by p0 which you know is a parameter since it follows the p* rule. (You can read about it here: https://code.google.com/p/smali/wiki/Registers).
By now you must be starting to understand that invoking this method won't help if you want to assing a cont value to your variable 'l'.
iput v0, v2, Lcom/breakapp/dd/mymod/Processor;->l:I
This last instruction takes your v2 register and puts the value of v0 in it. v0, before this line is executed, has the value that comes out of the JSONObject getInt(String) method while v2 references the Object MyProcessor and the "Lcom/breakapp/dd/mymod/Processor;->l" references the variable 'l' contained in that said obj. The ' :I ' let's you know the type of the variable. Since Java is strongly typed there is always an associated type to a variable as I'm sure you know. This has, of course, to be referenced in the bytecode and this is the way it's done.
I hope this gave some information to be able to do the changes you want but I'll try to help out a little more by suggesting that you change the code you showed to something like this:
const/4 v0, 0xA
iput v0, v2, Lcom/breakapp/dd/mymod/Processor;->l:I
The first line assings a constant (0xA hexa = 10 decimal) to v0 and then passes it as I referenced before.
Good luck with learning smali and I hope it helped at least a little