Answer
$ p=-\frac{31}{6}$
Work Step by Step
This is a linear function. Solve for $p$.
$$
\begin{aligned}
-2.3(p+7) + 2 & =4.3 p+20 \\
-2.3 p-16.1+2 & =4.3 p+20 \\
-2.3 p-4.3 p & =20 +16.1-2 \\
-6.6 p & =34.1 \\
p- & =-\frac{34.1}{6.6} \\
& =-\frac{341}{66} \\
& =-\frac{31}{6}\\
&\approx -5.167.
\end{aligned}
$$ The solution is $$ p=-\frac{31}{6}.$$ Define the following version of the function and plot it. We see that the zero is where it should be. $$
f(p) =4.3 p+20+2.3(p+7)-2=6.6p+34.1.
$$
