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-10z+75+5z=0
Add 5z to both sides.
-5z+75=0
Combine -10z and 5z to get -5z.
-5z=-75
Subtract 75 from both sides. Anything subtracted from zero gives its negation.
z=\frac{-75}{-5}
Divide both sides by -5.
z=15
Divide -75 by -5 to get 15.