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3z-500+15z=400
Use the distributive property to multiply -5 by 100-3z.
18z-500=400
Combine 3z and 15z to get 18z.
18z=400+500
Add 500 to both sides.
18z=900
Add 400 and 500 to get 900.
z=\frac{900}{18}
Divide both sides by 18.
z=50
Divide 900 by 18 to get 50.