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\frac{11}{28}z=z-17
Combine \frac{1}{4}z and \frac{1}{7}z to get \frac{11}{28}z.
\frac{11}{28}z-z=-17
Subtract z from both sides.
-\frac{17}{28}z=-17
Combine \frac{11}{28}z and -z to get -\frac{17}{28}z.
z=-17\left(-\frac{28}{17}\right)
Multiply both sides by -\frac{28}{17}, the reciprocal of -\frac{17}{28}.
z=28
Multiply -17 times -\frac{28}{17}.