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M^2 - 24mn + 144n^2 = m^2 - 144n^2

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Answer: The given equation is:

m^2 - 24mn + 144n^2 = m^2 - 144n^2

We can simplify and solve for m and n as follows:

Subtract m^2 from both sides:

-24mn + 144n^2 = -144n^2

Add 144n^2 to both sides:

-24mn = 0

Now, divide both sides by -24n (assuming n is not equal to 0):

m = 0

So, the solution for the variables in the equation is m = 0 and n can be any real number (except for 0, as we divided by n).

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