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Simplify the expression:

[tex]\[ [-8 + (-3)] + [-7 + (-7)] \][/tex]

Sagot :

GinnyAnsweridn
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]
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