To solve the expression \( 2(1.6^0 + 7) - 4.9^0 \), we first need to evaluate the terms involving the exponent of 0.
Recall that any non-zero number raised to the power of 0 equals 1. Thus:
\[ 1.6^0 = 1 \] \[ 4.9^0 = 1 \]
Now substituting these values back into the expression:
\[ 2(1 + 7) - 1 \]
Perform the addition inside the parentheses:
\[ 1 + 7 = 8 \]
Now we have:
\[ 2 \times 8 - 1 \]
Next, perform the multiplication:
\[ 2 \times 8 = 16 \]
Finally, perform the subtraction:
\[ 16 - 1 = 15 \]
Thus, the final answer is:
\[ \boxed{15} \]