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------------------------------------------------ Write the difference [tex]$57 - (-38)$[/tex] as a sum. Then simplify.

A. [tex]$57 + 16$[/tex] ; 73

B. [tex]$57 - 38$[/tex] ; 19

C. [tex]$57 - 16$[/tex] ; 41

D. [tex]$57 + 38$[/tex] ; 95

To solve the problem of writing the difference [tex]$ 57 - (-38) $[/tex] as a sum and then simplifying it, follow these steps:

1. Rewrite the Expression:
The expression [tex]$ 57 - (-38) $[/tex] can be rewritten by changing the subtraction of a negative number into an addition. In math, subtracting a negative number is equivalent to adding its positive counterpart. So, it becomes:
[tex]\[
57 - (-38) = 57 + 38
\][/tex]

2. Simplify the Expression:
Now that we have rewritten the expression as a sum, we simply add the two numbers together:
[tex]\[
57 + 38 = 95
\][/tex]

So, the difference [tex]$ 57 - (-38) $[/tex] rewritten as a sum is [tex]$ 57 + 38 $[/tex], and the simplified result is [tex]$ 95 $[/tex].

Based on these steps, the correct choice from the given options is:
[tex]\[
57 + 38; 95
\][/tex]