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-4z+32=6z+1
Multiply both sides of the equation by 4.
-4z+32-6z=1
Subtract 6z from both sides.
-10z+32=1
Combine -4z and -6z to get -10z.
-10z=1-32
Subtract 32 from both sides.
-10z=-31
Subtract 32 from 1 to get -31.
z=\frac{-31}{-10}
Divide both sides by -10.
z=\frac{31}{10}
Fraction \frac{-31}{-10} can be simplified to \frac{31}{10} by removing the negative sign from both the numerator and the denominator.