Answer
The equation has no solution.
The graph is shown below.
Work Step by Step
The given equation is
$\Rightarrow 7|5p-7|=-21$
Divide each side by $7$.
$\Rightarrow \frac{7|5p-7|}{7}=\frac{-21}{7}$
Simplify.
$\Rightarrow |5p-7|=-3$
The absolute value of an expression must be greater than or equal to zero.
The expression $|5p-7|$ cannot equal $-3$.
So, the equation has no solution.