Find the value of `38-(-25)-58+(-15)+23-(-8)`

Options

A. `22`
B. `21`
C. `36`
D. `23`

Answer

To solve the expression \( 38 - (-25) - 58 + (-15) + 23 - (-8) \), we will follow these steps:

### Step 1: Simplify the expression
The expression can be rewritten by changing the subtraction of negative numbers to addition:
\[ 38 - (-25) = 38 + 25 \]
\[ - (-15) = + 15 \]
\[ - (-8) = + 8 \]
So, the expression becomes:
\[ 38 + 25 - 58 - 15 + 23 + 8 \]

### Step 2: Group the positive and negative numbers
Now, we can group the positive and negative numbers:
\[ (38 + 25 + 23 + 8) + (-58 - 15) \]

### Step 3: Calculate the sum of positive numbers
Now, let's calculate the sum of the positive numbers:
\[ 38 + 25 = 63 \]
\[ 63 + 23 = 86 \]
\[ 86 + 8 = 94 \]

### Step 4: Calculate the sum of negative numbers
Next, we calculate the sum of the negative numbers:
\[ -58 - 15 = -73 \]

### Step 5: Combine the results
Now we combine the results from the positive and negative sums:
\[ 94 - 73 \]

### Step 6: Perform the final subtraction
Now, we perform the subtraction:
\[ 94 - 73 = 21 \]

### Final Answer
Thus, the value of the expression \( 38 - (-25) - 58 + (-15) + 23 - (-8) \) is \( \boxed{21} \).

---