Answer :

To find the sum of
[tex]$$-356.1 + 258.6,$$[/tex]
follow these steps:

1. Recognize that you are adding a negative number to a positive number. This means you can think of it as subtracting the positive number from the absolute value of the negative number, and then keeping the sign of the larger (in absolute value) number.

2. Compute the difference of the absolute values:
[tex]$$|{-356.1}| - 258.6 = 356.1 - 258.6 = 97.5.$$[/tex]

3. Since the absolute value of the negative number is larger, the overall result will be negative:
[tex]$$-97.5.$$[/tex]

Thus, the final answer is:
[tex]$$\boxed{-97.5}.$$[/tex]

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