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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
Subtract 3 from both sides.
z=-4
Subtract 3 from -1 to get -4.