$$6-(-9+7-1)-[3-(-5+4+6)-1]$$
$12$
$$6-\left(-2-1\right)-\left(3-\left(-5+4+6\right)-1\right)$$
$$6-\left(-3\right)-\left(3-\left(-5+4+6\right)-1\right)$$
$$6+3-\left(3-\left(-5+4+6\right)-1\right)$$
$$9-\left(3-\left(-5+4+6\right)-1\right)$$
$$9-\left(3-\left(-1+6\right)-1\right)$$
$$9-\left(3-5-1\right)$$
$$9-\left(-2-1\right)$$
$$9-\left(-3\right)$$
$$9+3$$
$$12$$
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$2^{2}\times 3$
