$$4[7+3\{6-4(3-8)\}]$$
$340$
$$4\left(7+3\left(6-4\left(-5\right)\right)\right)$$
$$4\left(7+3\left(6-\left(-20\right)\right)\right)$$
$$4\left(7+3\left(6+20\right)\right)$$
$$4\left(7+3\times 26\right)$$
$$4\left(7+78\right)$$
$$4\times 85$$
$$340$$
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$2^{2}\times 5\times 17$