How many solutions does this equation have? -4n + 8 = -4(n – 2)

Let’s solve the equation step by step:

1. Start with the original equation:

(-4n + 8 = -4(n – 2))

2. Distribute on the right side:

(-4n + 8 = -4n + 8)

3. Now, notice that both sides of the equation are identical. This means that the equation is true for all values of ( n ).

Since the equation balances out for any ( n ), we conclude that there are infinitely many solutions.

So, the answer is: infinitely many solutions.