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z-3=z-3-z-\left(-2\right)
To find the opposite of z-2, find the opposite of each term.
z-3=z-3-z+2
The opposite of -2 is 2.
z-3=-3+2
Combine z and -z to get 0.
z-3=-1
Add -3 and 2 to get -1.
z=-1+3
Add 3 to both sides.
z=2
Add -1 and 3 to get 2.