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2z-2=6-3\left(z+1\right)
Use the distributive property to multiply 2 by z-1.
2z-2=6-3z-3
Use the distributive property to multiply -3 by z+1.
2z-2=3-3z
Subtract 3 from 6 to get 3.
2z-2+3z=3
Add 3z to both sides.
5z-2=3
Combine 2z and 3z to get 5z.
5z=3+2
Add 2 to both sides.
5z=5
Add 3 and 2 to get 5.
z=\frac{5}{5}
Divide both sides by 5.
z=1
Divide 5 by 5 to get 1.