To solve the expression \( 5.6 - 3.04 \cdot 37.1 - 2.09 \), we should follow the order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)).
Calculate the multiplication first: \[ 3.04 \cdot 37.1 = 112.144 \]
Now substitute that back into the expression: \[ 5.6 - 112.144 - 2.09 \]
Perform the subtraction from left to right: \[ 5.6 - 112.144 = -106.544 \] Then: \[ -106.544 - 2.09 = -108.634 \]
So, the final result is: \[ \boxed{-108.634} \]