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(-7)^7/(-7)^-n=(-7)^21
We move all terms to the left:
(-7)^7/(-7)^-n-((-7)^21)=0
We add all the numbers together, and all the variables
-1n+558545864083284008=0
We move all terms containing n to the left, all other terms to the right
-n=-558545864083284008
n=-558545864083284008/-1
n=+5.5854586408328E+17
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