Balance [this equation].
Then: what does balancing
physically correspond to, why
can't the final coefficients
be fractions, and what would
they mean in a real flask?

Balance the Equation and Explain It

Balancing as conservation, not as a puzzle to be solved.

Prompt

Balance this equation: [paste it]. Then explain what balancing physically corresponds to, why the coefficients can't be fractions in the final answer, and what the balanced numbers would mean in a real flask.