Let's simplify the expression step by step:
The expression given is:
\[ 2(1.6\sqrt{0} + 7) - 4.9\sqrt{0} \]
First, we can evaluate \(\sqrt{0}\):
\(\sqrt{0} = 0\)
Now substitute \(\sqrt{0}\) in the expression:
\[ 2(1.6(0) + 7) - 4.9(0) \]
This simplifies to:
\[ 2(0 + 7) - 0 \]
Thus, we can simplify further:
\[ 2(7) - 0 \]
This equals:
\[ 14 - 0 = 14 \]
So, the final result of the expression is:
\(\boxed{14}\)