Let's solve the given equation step-by-step:
1. The given equation is [tex]\(14.3p - 32.24 = 127.92\)[/tex].
2. To isolate the term with [tex]\(p\)[/tex], we need to eliminate the constant term on the left side of the equation. We do this by adding 32.24 to both sides of the equation:
[tex]\[
14.3p - 32.24 + 32.24 = 127.92 + 32.24
\][/tex]
3. Simplifying both sides, we have:
[tex]\[
14.3p = 160.16
\][/tex]
4. Next, we want to solve for [tex]\(p\)[/tex] by isolating it. We do this by dividing both sides of the equation by 14.3:
[tex]\[
\frac{14.3p}{14.3} = \frac{160.16}{14.3}
\][/tex]
5. Simplifying the fractions, we get:
[tex]\[
p = 11.2
\][/tex]
Hence, the value of [tex]\(p\)[/tex] is [tex]\(\boxed{11.2}\)[/tex].
