Find the value of the given expression.
`(-145)-(-239)+421-289-(-652)-185+(-59)`

Options

A. `-278`
B. `-32`
C. `-550`
D. 634

Answer

To solve the expression `(-145) - (-239) + 421 - 289 - (-652) - 185 + (-59)`, we will follow these steps:

### Step 1: Simplify the expression
First, we need to simplify the expression by handling the negative signs. Remember that subtracting a negative number is the same as adding a positive number.

- The expression can be rewritten as:
\[ -145 + 239 + 421 - 289 + 652 - 185 - 59 \]

### Step 2: Group the positive and negative terms
Next, we will group the positive and negative terms together for easier calculation.

- Positive terms: \(239, 421, 652\)
- Negative terms: \(-145, -289, -185, -59\)

### Step 3: Calculate the sum of positive terms
Now, we will add the positive terms together:

\[ 239 + 421 + 652 \]

Calculating this step by step:
1. \(239 + 421 = 660\)
2. \(660 + 652 = 1312\)

So, the sum of the positive terms is \(1312\).

### Step 4: Calculate the sum of negative terms
Next, we will add the negative terms together:

\[ -145 - 289 - 185 - 59 \]

Calculating this step by step:
1. \(-145 - 289 = -434\)
2. \(-434 - 185 = -619\)
3. \(-619 - 59 = -678\)

So, the sum of the negative terms is \(-678\).

### Step 5: Combine the results
Now, we will combine the results of the positive and negative sums:

\[ 1312 + (-678) = 1312 - 678 \]

Calculating this gives:
\[ 1312 - 678 = 634 \]

### Final Answer
Thus, the value of the given expression is \(634\).

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