Answer :

To simplify the expression [tex]\((4 + c) + 3\)[/tex], follow these steps:

1. Identify Like Terms:
We start with the expression [tex]\((4 + c) + 3\)[/tex]. We need to identify and combine like terms. In this case, [tex]\(4\)[/tex] and [tex]\(3\)[/tex] are both constants, and [tex]\(c\)[/tex] is a variable.

2. Combine the Constants:
Add the constants [tex]\(4\)[/tex] and [tex]\(3\)[/tex] together:
[tex]\[ 4 + 3 = 7 \][/tex]

3. Rewrite the Expression:
Now that we have combined the constants, we rewrite the expression by placing the result from combining the constants next to the variable term [tex]\(c\)[/tex]:
[tex]\[ (4 + c) + 3 = 7 + c \][/tex]
Since [tex]\(c\)[/tex] is given as 0, we substitute [tex]\(c\)[/tex] with 0:
[tex]\[ 7 + 0 = 7 \][/tex]

4. Final Simplified Expression:
Therefore, the simplified expression is:
[tex]\[ 7 \][/tex]

So, the simplified result of the expression [tex]\((4 + c) + 3\)[/tex] is 7.