Is my equation rearrangement correct?

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The discussion centers on rearranging the equation M=rv²/G to isolate r. The user proposes r=GM/v² and questions its correctness. Responses confirm that the rearrangement is accurate, emphasizing the importance of performing the same operations on both sides of the equation. Participants remind the user to ensure that v² is not zero during the process. The overall consensus is that the equation has been correctly rearranged.
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Hi, my algebra skills are a bit rusty so can someone tell me if I've rearranged this equation correctly. This is the original
M=rv²/G

I need to make r the subject so I put
r=GM/v²

Ist that right? Looks a bit off to me. Thanks
 
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It is OK.

Do you remember how to rearrange? In short - you can do the same operations on both sides of the equal side. So you can multiply both sides by G, and you can divide both sides by v2 (assuming v2 is not zero) - check what cancels out.
 
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