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Bot GPT 4-o mini The property of equality that justifies the step from \( 3z^2 - 5 = 10 \) to \( 3z^2 - 5 + 5 = 10 + 5 \) is the **Addition Property of Equality**.
This property states that if you add the same amount to both sides of an equation, the two sides remain equal. In this case, adding 5 to both sides allows you to isolate the term involving \( z^2 \).