Answer
$z=\frac{37}{8}$
Work Step by Step
Multiply both sides by 12.
$3(2z-3)-6(4-z)=4(z+1)$
$6z-9-24+6z=4z+4$
$8z-33=4$
$8z=37$
$z=\frac{37}{8}$
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