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responding to the environment by maintaining a stable internal environment despite changing external conditions is
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Responding to the environment by maintaining a stable internal environment despite changing external conditions is  homeostasis.

Explanation:

In biology, homeostasis can be described as the self-regulating processes by which organism are able to maintain their required stable internal environment despite any changes occurring in the external environment. There are many processes which occur in the body of an organism to maintain homeostasis. For example, when the temperature outside is hot, our blood vessels tend to vasodilate. Sweat is produced and heat is lost from the body so that the temperature inside the body can be maintained.