To find the value of [tex]\( p \)[/tex] in the equation [tex]\( 7p - 4 = 8 \)[/tex], follow these steps:
1. Isolate the term with [tex]\( p \)[/tex]:
- Start with the given equation:
[tex]\[
7p - 4 = 8
\][/tex]
- Add 4 to both sides of the equation to eliminate the constant term on the left side:
[tex]\[
7p - 4 + 4 = 8 + 4
\][/tex]
- Simplify the equation:
[tex]\[
7p = 12
\][/tex]
2. Solve for [tex]\( p \)[/tex]:
- Divide both sides of the equation by 7 to isolate [tex]\( p \)[/tex]:
[tex]\[
p = \frac{12}{7}
\][/tex]
So, the value of [tex]\( p \)[/tex] is:
[tex]\[
p = \frac{12}{7}
\][/tex]
Thus, the correct answer is [tex]\( C \)[/tex] [tex]\(\frac{12}{7}\)[/tex].