Find the value of \[\left( { - 32} \right) - \left( { - 40} \right)\]

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Hint: Here, we will proceed by simplifying the given expression by using simple mathematical operations. First, we will simplify one term in the bracket and then other accordingly. So, use this concept to reach the solution of the given problem.

Complete step-by-step solution:
Here, we have to find the value of \[\left( { - 32} \right) - \left( { - 40} \right)\].
We know that \[ - \left( { - a} \right) = + a\]. By using this formula, we have
\[ \Rightarrow \left( { - 32} \right) - \left( { - 40} \right) = \left( { - 32} \right) + 40\]
Now, we have to add 40 and -32, which results as
\[
   \Rightarrow \left( { - 32} \right) - \left( { - 40} \right) = 40 - 32 \\
   \Rightarrow \left( { - 32} \right) - \left( { - 40} \right) = 8
\]

Thus, the required value of \[\left( { - 32} \right) - \left( { - 40} \right)\] is 8.

Note: The basic arithmetic operations for real numbers are addition, subtraction, multiplication and division. Here we have used addition of integers to solve the given problem. An integer is defined as a number that does not include the fractional parts. Here in the given problem \[ - 32, - 40\] are integers.