Problem:
Simplify.
3w-4(4z-2w)+4z
Solution:
[tex]3w-4\mleft(4z-2w\mright)+4z\text{ = 3w - 4(4z) + (4)(2)w + 4z}[/tex]
that is:
[tex]\text{ = 3w - 4(4z) + (4)(2)w + 4z = 3w -16z + 8w + 4z}[/tex]this is equivalent to :
[tex]\text{ = (3w + 8w) +( 4z-16z ) = 11w -12z}[/tex]then, the correct solution would be:
[tex]\text{ = 11w -12z}[/tex]