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5z-2z-\left(-6\right)=30
To find the opposite of 2z-6, find the opposite of each term.
5z-2z+6=30
The opposite of -6 is 6.
3z+6=30
Combine 5z and -2z to get 3z.
3z=30-6
Subtract 6 from both sides.
3z=24
Subtract 6 from 30 to get 24.
z=\frac{24}{3}
Divide both sides by 3.
z=8
Divide 24 by 3 to get 8.