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------------------------------------------------ Evaluate the following expression:

[tex] 37 - |-39.1 + (-40.2)| = [/tex]

Answer :

Let's evaluate the expression [tex]\( 37 - \left| -39.1 + (-40.2) \right| \)[/tex] step-by-step.

1. First, we need to evaluate the expression inside the absolute value: [tex]\( -39.1 + (-40.2) \)[/tex].

[tex]\( -39.1 + (-40.2) = -39.1 - 40.2 = -79.3 \)[/tex].

2. Next, we take the absolute value of the result from the previous step.

The absolute value of [tex]\( -79.3 \)[/tex] is [tex]\( 79.3 \)[/tex].

3. Finally, we subtract the absolute value obtained in step 2 from 37.

[tex]\( 37 - 79.3 = -42.3 \)[/tex].

Thus, the value of the given expression is [tex]\( -42.3 \)[/tex].

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