Evaluate: `-36-40+43-(-29)+18-(-74)`

Options

A. `80`
B. `-63`
C. `-88`
D. `88`

Answer

To evaluate the expression `-36 - 40 + 43 - (-29) + 18 - (-74)`, we will follow these steps:

### Step 1: Rewrite the expression
Start by rewriting the expression clearly:
\[ -36 - 40 + 43 - (-29) + 18 - (-74) \]

### Step 2: Simplify the double negatives
When you have a negative sign in front of a negative number, it becomes positive. So we can simplify:
\[ -36 - 40 + 43 + 29 + 18 + 74 \]

### Step 3: Group the positive and negative numbers
Now, we can group the positive and negative numbers together:
\[ (-36 - 40) + (43 + 29 + 18 + 74) \]

### Step 4: Calculate the negative sum
Calculate the sum of the negative numbers:
\[ -36 - 40 = -76 \]

### Step 5: Calculate the positive sum
Calculate the sum of the positive numbers:
\[ 43 + 29 + 18 + 74 \]
- First, add \(43 + 29 = 72\)
- Then, add \(72 + 18 = 90\)
- Finally, add \(90 + 74 = 164\)

So, the sum of the positive numbers is:
\[ 164 \]

### Step 6: Combine the results
Now, combine the results from the negative and positive sums:
\[ -76 + 164 \]

### Step 7: Perform the final calculation
Subtract the negative sum from the positive sum:
\[ 164 - 76 = 88 \]

### Final Answer
Thus, the final answer is:
\[ \boxed{88} \]

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