Firs, simply the equation as much as possible.
7w−(2+w)=2(3w−1)
7w−2-w=2*3w−2*1
6w-2=6w-2
We simplified the equation using valid mathematical operations and we reached to the final equation, which is always true.
we could have also subtracted 6w and added 2 to both sides, and get:
0=0, which is certainly true.
In these cases, the equations have infinitely many solutions, because any value of w, satisfies them.
Answer; infinitely many