Solve the mathematical problem involving absolute value.%0D%0A%0D%0A7−(2+|5−3|)%0D%0A7%0D%0A−%0D%0A(%0D%0A2%0D%0A+%0D%0A|%0D%0A5%0D%0A−%0D%0A3%0D%0A|%0D%0A)%0D%0A%0D%0A(1 point)

Answer 1

To solve the expression \( 7 - (2 + |5 - 3|) \), we follow these steps:

1. First, evaluate the absolute value: \[ |5 - 3| = |2| = 2. \]

2. Substitute this value back into the expression: \[ 7 - (2 + 2). \]

3. Next, simplify the expression inside the parentheses: \[ 2 + 2 = 4. \]

4. Now we have: \[ 7 - 4. \]

5. Finally, perform the subtraction: \[ 7 - 4 = 3. \]

So, the answer is: \[ \boxed{3}. \]