Answer :

- The problem requires calculating the sum of two numbers: $-356.1$ and $258.6$.
- Rewrite the expression as $-(356.1 - 258.6)$.
- Calculate the difference: $356.1 - 258.6 = 97.5$.
- The final answer is $\boxed{{-97.5}}$.

### Explanation
1. Understanding the Problem
We are asked to find the sum of two numbers, $-356.1$ and $258.6$. This is a straightforward arithmetic problem.

2. Setting up the Calculation
To find the sum, we perform the addition: $-356.1 + 258.6$. Since the first number is negative and has a larger absolute value than the second number, the result will be negative.

3. Performing the Subtraction
We can rewrite the expression as $-(356.1 - 258.6)$. Now we subtract $258.6$ from $356.1$. $$356.1 - 258.6 = 97.5$$ Therefore, $-356.1 + 258.6 = -97.5$.

4. Final Answer
The sum of $-356.1$ and $258.6$ is $-97.5$.

### Examples
In personal finance, this type of calculation is used to determine the net change in your bank account after a debit and a credit. For example, if you had a debt of $356.1 (represented as -356.1) and then deposited $258.6 (represented as +258.6), the calculation -356.1 + 258.6 would tell you your new balance.

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