Final answer:
The equation [-9(z + 8) = -9z - 72] has infinite solutions.
Step-by-step explanation:
The equation [-9(z + 8) = -9z - 72] can be simplified and solved to determine how many solutions it has.
Step 1: Distribute the -9 to both terms inside the parentheses: -9z - 72 = -9z - 72.
Step 2: Combine like terms on both sides of the equation: -72 = -72.
Step 3: Since the -72 on both sides is equal, the equation has infinite solutions. This means that any value of z will satisfy the equation.
Therefore, the equation has infinite solutions