Answer:
Infinite. Please Mark Brainliest, this took a lot of effort.
Step-by-step explanation:
After going through the process of solving, you get 0=0, meaning true for all z
-2z+2+4z=16/5+2z-6/5
Group Like Terms
-2z+4z+2=16/5+2z-6/5
Add similar terms
2z+2=16/5+2z-6/5
Group Like Terms
2z+2=2z-6/5+16/5
Combine the Fractions
Apply the rule a/c plus or minus b over c equals a plus or minus b over c
=(-6+16)/5
Add/Subtract the numbers
=10/5
Divide the numbers
=2
2z+2=2z+2
Subtract 2 from each side
2z+2-2=2z+2-2
Simplify
2z=2z
Subtract 2z from each side
2z-2z=2z-2z
Simplify
0=0
Both sides are equal, true for all z
