Final answer:
The equation '4 = 5n - 5n' simplifies to '4 = 0', which is nonsensical as four cannot equal zero. This indicates the equation is inconsistent and has no solution.
Step-by-step explanation:
Solving the Given Equation
The equation presented is 4 = 5n - 5n. To solve this equation, we must first understand that any number (n) multiplied by itself a certain number of times is referred to as raising the number to a power. However, the given equation includes a subtraction of a term from itself, which results in zero. Therefore, 5n - 5n simplifies to 0, since any number minus itself equals zero. This leaves us with the equation 4 = 0, which is absurd because four cannot equal zero. It indicates there has been an error in the initial equation or that the equation has no solution. Based on this, the original equation is inconsistent and not solvable.