Find the dot product, \( \vec{u} \cdot \vec{w} \).
\[
\begin{array}{l}
\vec{u}=\langle-7,-4\rangle \\
\vec{w}=\langle 4,-3\rangle
\end{array}
\]
\[
\vec{u} \cdot \vec{w}=[?]
\]

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