Answer
The equation is an identity and has infinitely many solutions.
Any real number is a solution.
Work Step by Step
$$\begin{align*}
4(1)-4(p)&=-4p+4 &\text{Apply the Distributive Property.}\\
4-4p&=-4p+4 &\text{Simplify.}\\
4-4p+4p&=-4p+4+4p &\text{Add $4p$ to both sides.}\\
4&=4 &\text{Simplify.}\\
\end{align*}$$
The last line is a true statement. This means that the equation is an identity and has infinitely many solutions. Any real number is a solution of the given equation.
