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Solve for z
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z+\frac{4}{5}=\frac{1}{5}
Swap sides so that all variable terms are on the left hand side.
z=\frac{1}{5}-\frac{4}{5}
Subtract \frac{4}{5} from both sides.
z=\frac{1-4}{5}
Since \frac{1}{5} and \frac{4}{5} have the same denominator, subtract them by subtracting their numerators.
z=-\frac{3}{5}
Subtract 4 from 1 to get -3.