Answer :

Sure, I will walk you through the solution step by step.

1. Calculate [tex]\(-6 + (-6)\)[/tex]:
- Start with [tex]\(-6\)[/tex].
- Add [tex]\(-6\)[/tex] to it.
- Result: [tex]\(-12\)[/tex].

2. Calculate [tex]\(8 + 1 + 91\)[/tex]:
- Start with [tex]\(8\)[/tex].
- Add [tex]\(1\)[/tex] to [tex]\(8\)[/tex] to get [tex]\(9\)[/tex].
- Then add [tex]\(91\)[/tex] to [tex]\(9\)[/tex].
- Result: [tex]\(100\)[/tex].

3. Calculate [tex]\(-15 + 1 - 291\)[/tex]:
- Start with [tex]\(-15\)[/tex].
- Add [tex]\(1\)[/tex] to [tex]\(-15\)[/tex] to get [tex]\(-14\)[/tex].
- Then subtract [tex]\(291\)[/tex] from [tex]\(-14\)[/tex].
- Result: [tex]\(-305\)[/tex].

4. Calculate [tex]\(30 + 1 + 481\)[/tex]:
- Start with [tex]\(30\)[/tex].
- Add [tex]\(1\)[/tex] to [tex]\(30\)[/tex] to get [tex]\(31\)[/tex].
- Then add [tex]\(481\)[/tex] to [tex]\(31\)[/tex].
- Result: [tex]\(512\)[/tex].

So, the solutions to the given expressions are:

1. [tex]\(-6 + (-6) = -12\)[/tex]
2. [tex]\(8 + 1 + 91 = 100\)[/tex]
3. [tex]\(-15 + 1 - 291 = -305\)[/tex]
4. [tex]\(30 + 1 + 481 = 512\)[/tex]