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16z+400-10z=550
Use the distributive property to multiply 10 by 40-z.
6z+400=550
Combine 16z and -10z to get 6z.
6z=550-400
Subtract 400 from both sides.
6z=150
Subtract 400 from 550 to get 150.
z=\frac{150}{6}
Divide both sides by 6.
z=25
Divide 150 by 6 to get 25.