*7. \( (-2)+5 \cdot 3-108(-4)+9 \cdot(-1 \)

First, let’s simplify the expression step by step. Start with the multiplication: \(5 \cdot 3 = 15\) and \(9 \cdot (-1) = -9\). So, the expression now looks like: \((-2) + 15 - 108(-4) - 9\). Now compute \(108(-4) = -432\), which makes the expression: \((-2) + 15 + 432 - 9\). Now, combine them: \((-2 + 15 - 9 + 432) = 436\). Thus, the answer is \(436\). Now, isn't math just like a thrilling puzzle? Tackling these expressions is like peeling an onion—each layer reveals something new until you arrive at the core solution!