Look as far into the levels of grouping symbols as you can, and do those or that operation first.
You see most inward, is w--4. Do THAT first.
w-‐[12w+w{w-‐12(w+4)}]
Again, what is the inner most expression you can find in the groupings? It is the -12(w+4), so ... there is some confusion on that one. You see ...subtraction of negative 12*(w+4)? Maybe take care of the double negative and then take the 12 factor:
w-‐[12w+w{w-‐12(w+4)}]
w-‐[12w+w{w+12(w+4)}]
w-‐[12w+w{w+12*w+12*4)}]
Next, again what is the inner most level of grouping? We should work with the terms of w+12w+12*4, which is
13w+48,
so now we have:
w-‐[12w+w{13w+48)}]
You can put this solution on YOUR website! simplify:
w-‐[12w+w{w-‐12(w-‐4)}]
change signs
w+[12w+w{w+12(w+4)}]
expand and remove parenthesis ( )
w+[12w+w{w+12w+48}]
combine like terms within { }
w+[12w+w{13w+48}]
expand and remove { }
w+[12w+13w^2+48w]
combine like terms within [ ]
w+[13w^2+60w]
remove [ ] and combine like terms
13w^2+61w
(