To solve the problem of adding \((-2055) + 679\), we can follow these steps:
### Step-by-Step Solution:
1. **Identify the Numbers**: We have two numbers to add: \(-2055\) (a negative integer) and \(679\) (a positive integer).
2. **Understand the Addition of Integers**: When adding a negative integer to a positive integer, we essentially subtract the smaller absolute value from the larger absolute value and keep the sign of the number with the larger absolute value.
3. **Calculate the Absolute Values**:
- The absolute value of \(-2055\) is \(2055\).
- The absolute value of \(679\) is \(679\).
4. **Subtract the Smaller Absolute Value from the Larger Absolute Value**:
- Since \(2055\) (absolute value of \(-2055\)) is larger than \(679\), we subtract \(679\) from \(2055\):
\[
2055 - 679 = 1376
\]
5. **Determine the Sign of the Result**:
- Since \(-2055\) has the larger absolute value, the result will be negative. Therefore, we write:
\[
(-2055) + 679 = -1376
\]
### Final Answer:
\[
(-2055) + 679 = -1376
\]
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