Find all $w$ so that neither $-2(6+2w)\le -16 + 7w$ nor $-3w\ge 18 - 5w + 3$.
Simplifying the given inequalities, we have:
14 \le 9w \le 21,
which implies:
\frac{14}{9} \le w \le \frac{21}{9}.
Therefore, the solution is [14/9,21/9].
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