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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].
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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