To solve the expression \( 48.505 - (263 + \frac{99.846}{129} / 129 \times 8.007) \), we will follow the order of operations (parentheses, exponents, multiplication and division from left to right, addition and subtraction from left to right).
Start with the division \( \frac{99.846}{129} \): \[ \frac{99.846}{129} \approx 0.774 \]
Now replace \( \frac{99.846}{129} \) in the expression: \[ 48.505 - (263 + 0.774 / 129 \times 8.007) \]
Calculate \( 0.774 / 129 \): \[ 0.774 / 129 \approx 0.006 \]
Now replace \( 0.774 / 129 \) in the expression: \[ 48.505 - (263 + 0.006 \times 8.007) \]
Calculate \( 0.006 \times 8.007 \): \[ 0.006 \times 8.007 \approx 0.048 \]
Now replace \( 0.006 \times 8.007 \) in the expression: \[ 48.505 - (263 + 0.048) \]
Now add \( 263 + 0.048 \): \[ 263 + 0.048 \approx 263.048 \]
Finally, calculate \( 48.505 - 263.048 \): \[ 48.505 - 263.048 \approx -214.543 \]
Thus, the final result is approximately: \[ \boxed{-214.543} \]
