Let's solve the given expression step-by-step:
[tex]\[ [-8 + (-3)] + [-7 + (-7)] \][/tex]
### Step 1: Simplify the expression inside the first set of brackets
[tex]\[ -8 + (-3) \][/tex]
When you add two negative numbers, you add their absolute values and then keep the negative sign:
[tex]\[ -8 + (-3) = -(8 + 3) = -11 \][/tex]
So, the expression simplifies to:
[tex]\[ -11 + [-7 + (-7)] \][/tex]
### Step 2: Simplify the expression inside the second set of brackets
[tex]\[ -7 + (-7) \][/tex]
Again, when you add two negative numbers, you add their absolute values and then keep the negative sign:
[tex]\[ -7 + (-7) = -(7 + 7) = -14 \][/tex]
So, the expression now is:
[tex]\[ -11 + (-14) \][/tex]
### Step 3: Add the results of the two simplified expressions
We need to add [tex]\(-11\)[/tex] and [tex]\(-14\)[/tex]. Adding two negative numbers involves adding their absolute values and keeping the negative sign:
[tex]\[ -11 + (-14) = -(11 + 14) = -25 \][/tex]
### Final Answer
Therefore, the value of the expression [tex]\[ [-8 + (-3)] + [-7 + (-7)] \][/tex] is [tex]\(-25\)[/tex].
So, the detailed values are:
- The value inside the first set of brackets: [tex]\(-11\)[/tex]
- The value inside the second set of brackets: [tex]\(-14\)[/tex]
- The final result after addition: [tex]\(-25\)[/tex]
Putting it all together:
[tex]\[ [-8 + (-3)] + [-7 + (-7)] = -11 + (-14) = -25 \][/tex]
