Solve for z
z\in \mathrm{R}
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-6z-12<-9z+3\left(z-1\right)
Use the distributive property to multiply -6 by z+2.
-6z-12<-9z+3z-3
Use the distributive property to multiply 3 by z-1.
-6z-12<-6z-3
Combine -9z and 3z to get -6z.
-6z-12+6z<-3
Add 6z to both sides.
-12<-3
Combine -6z and 6z to get 0.
z\in \mathrm{R}
This is true for any z.
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