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How many solutions does the equation [-9(z + 8) = -9z - 72] have?

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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

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