To solve the expression \( 9 - 3 \cdot 1 + 3 - 1 \), 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)):
First, solve the multiplication: \[ 3 \cdot 1 = 3 \] Now the expression looks like: \[ 9 - 3 + 3 - 1 \]
Next, perform the operations from left to right:
- Subtract \(3\) from \(9\): \[ 9 - 3 = 6 \]
- Add \(3\): \[ 6 + 3 = 9 \]
- Subtract \(1\): \[ 9 - 1 = 8 \]
So, the final result is: \[ \boxed{8} \]