$$\frac{3z-4}{5}-7=\frac{z}{4}+\frac{1}{8}$$
$z = \frac{317}{14} = 22\frac{9}{14} \approx 22.642857143$
$$8\left(3z-4\right)-280=10z+5$$
$$24z-32-280=10z+5$$
$$24z-312=10z+5$$
$$24z-312-10z=5$$
$$14z-312=5$$
$$14z=5+312$$
$$14z=317$$
$$z=\frac{317}{14}$$
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