$$\frac{2(a+1)}{4}-3=\frac{3a-1}{4}$$
$a=-9$
$$2\left(a+1\right)-12=3a-1$$
$$2a+2-12=3a-1$$
$$2a-10=3a-1$$
$$2a-10-3a=-1$$
$$-a-10=-1$$
$$-a=-1+10$$
$$-a=9$$
$$a=-9$$
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