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Suppose $T:\mathbb{R}^n\to\mathbb{R}^m$ is a linear transformation satisfying $T(v)=6$ and $T(w)=-3$ for certain vectors $\vec v,\vec w\in\mathbb{R}^n$.

If possible, compute $T(v-2w)$:

A

$3$

B

$6$

C

$9$

D

$12$

E

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