Solve for [tex]\( p \)[/tex]:

[tex]\[ \begin{array}{l}
14.3p - 32.24 = 127.92 \\
14.3p - 32.24 + 32.24 = 127.92 + 32.24 \\
14.3p = 160.16 \\
\frac{14.3p}{14.3} = \frac{160.16}{14.3} \\
p = \square
\end{array} \][/tex]



Answer :

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].