How do stock buybacks affect capital structure?

Alrighty,

You have 10M in Eq. Value, 10M in Debt, 5M in Cash, with a total EV being 15M. If you conduct 5M worth of buybacks, I understand Eq. Value is now 5M, 10M Debt remains, and Cash is now 0M, giving you the same EV of 15M.

However,

Isn't capital structure changed in the sense that we had an Equity/Total Capital percentage of 50% and now it is 33%? (10M/10M + 10M for the first one and 5M/10M + 5M after buybacks)?

Trying to wrap my head around this concept

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