Certainly! Let's carefully subtract the given expressions step-by-step to determine the correct result.
We have the expressions:
[tex]\[ (5.62n - 2.8) - (4 + 14.3n) \][/tex]
### Step 1: Distribute the minus sign
When we subtract an expression, we need to distribute the minus sign to each term in the second expression:
[tex]\[ 5.62n - 2.8 - 4 - 14.3n \][/tex]
### Step 2: Combine like terms
Now we combine the terms with [tex]\( n \)[/tex] and the constant terms separately.
#### Combining terms with [tex]\( n \)[/tex]:
[tex]\[ 5.62n - 14.3n = -8.68n \][/tex]
#### Combining constant terms:
[tex]\[ -2.8 - 4 = -6.8 \][/tex]
### Step 3: Write the final result
After combining the like terms, we have:
[tex]\[ -8.68n - 6.8 \][/tex]
Therefore, the subtraction of the given expressions yields:
[tex]\[ -8.68n - 6.8 \][/tex]
So, the correct choice from the given options is:
[tex]\[ \boxed{-8.68n - 6.8} \][/tex]
