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Solve for z
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|8z-2|=1
Combine 5z and 3z to get 8z.
8z-2=1 8z-2=-1
Use the definition of absolute value.
8z=3 8z=1
Add 2 to both sides of the equation.
z=\frac{3}{8} z=\frac{1}{8}
Divide both sides by 8.