How many solutions does this equation have? -16u – 12 = 4(-4u – 3)

To determine how many solutions the equation has, let’s solve it step-by-step.

1. Start with the given equation:

[-16u – 12 = 4(-4u – 3)]

2. Distribute the right side:

[-16u – 12 = -16u – 12]

3. Now, simplify the equation:

Move all terms to one side:

[-16u + 16u – 12 + 12 = 0]

This simplifies to:

[0 = 0]

Since the equation simplifies to a statement that is always true (0 = 0), this means that there are infinitely many solutions.

Answer: Infinitely many solutions.

This is because the original equation is an identity that is true for all values of ( u ).