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10z-35-2z=1
Use the distributive property to multiply 5 by 2z-7.
8z-35=1
Combine 10z and -2z to get 8z.
8z=1+35
Add 35 to both sides.
8z=36
Add 1 and 35 to get 36.
z=\frac{36}{8}
Divide both sides by 8.
z=\frac{9}{2}
Reduce the fraction \frac{36}{8} to lowest terms by extracting and canceling out 4.