Answer :

Sure, let's break down the given problem step by step:

1. First, compute [tex]\(9 - 632\)[/tex]:
[tex]\[ 9 - 632 = -623 \][/tex]
So, the result is [tex]\(-623\)[/tex].

2. Next, subtract the result obtained from step 1 from 11:
[tex]\[ 11 - (-623) \][/tex]
Remember, subtracting a negative number is equivalent to adding the absolute value of that number:
[tex]\[ 11 + 623 = 634 \][/tex]
Thus, the result of this step is [tex]\(634\)[/tex].

3. Finally, multiply the result obtained from step 2 by 11:
[tex]\[ 634 \times 11 = 6974 \][/tex]

So, the detailed step-by-step solution is:
- Calculate [tex]\(9 - 632\)[/tex] which gives [tex]\(-623\)[/tex]
- Compute [tex]\(11 + 623\)[/tex] (since subtracting a negative number is the same as adding) which results in [tex]\(634\)[/tex]
- Multiply [tex]\(634\)[/tex] by [tex]\(11\)[/tex] to get [tex]\(6974\)[/tex]

Therefore, the overall process yields the final result [tex]\(6974\)[/tex].