$$3-\frac{a-8}{3}=\frac{a-3}{2}$$
$a = \frac{43}{5} = 8\frac{3}{5} = 8.6$
$$18-2\left(a-8\right)=3\left(a-3\right)$$
$$18-2a+16=3\left(a-3\right)$$
$$34-2a=3\left(a-3\right)$$
$$34-2a=3a-9$$
$$34-2a-3a=-9$$
$$34-5a=-9$$
$$-5a=-9-34$$
$$-5a=-43$$
$$a=\frac{-43}{-5}$$
$$a=\frac{43}{5}$$
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