Evaluate the summation below. \[ 2 \sum_{m=1}^{6}\left(2 m^{2}-9 m\right) \]

Step 1 ：Evaluate the summation below.

Step 2 ：\[2 \sum_{m=1}^{6}\left(2 m^{2}-9 m\right)\]

Step 3 ：The summation is a simple arithmetic operation where we sum the results of the expression \(2m^2 - 9m\) for each integer value of \(m\) from 1 to 6, and then multiply the result by 2.

Step 4 ：The total is -14.

Step 5 ：Final Answer: \(\boxed{-14}\)