To solve the given arithmetic expression, we need to perform the operations in the order they appear from left to right.
First, we evaluate the addition of \(-4\) and \(9\): \[ -4 + 9 = 5 \]
Next, we subtract \(8\) from the result of the first operation: \[ 5 - 8 = -3 \]
\[ \boxed{-3} \]
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