Answer:
-5n = 7 - 5(n - 5) - 32 is an identity, meaning it is true for all values of n.
Explanation:
First, simplify the equation by distributing the -5 on the right side:
-5n = 7 - 5n + 25 - 32
Next, combine like terms on the right side of the equation:
-5n = (7 + 25) - (5n + 32)
-5n = 32 - 5n - 32
Now, notice that the terms "-5n" and "+5n" on the right side cancel each other out:
-5n = -5n
Since the left side is equal to the right side, the equation is true for all values of n. In other words, there is no specific value of n that satisfies the equation; it holds true for any value of n.
So, the equation -5n = 7 - 5(n - 5) - 32 is an identity, meaning it is true for all values of n.