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7z-17+3=0
Combine 10z and -3z to get 7z.
7z-14=0
Add -17 and 3 to get -14.
7z=14
Add 14 to both sides. Anything plus zero gives itself.
z=\frac{14}{7}
Divide both sides by 7.
z=2
Divide 14 by 7 to get 2.