You got as far as you get, on the first pass. I split your post off into its own thread, and moved it here.
You have to 'balance', or compensate for, the pH effects of ALL forms of chlorine you can use in a pool: gas, bleach ('liquid chlorine'), cal hypo, dichlor, trichlor, SWCG (salt water chlorine generator). But the overall pH effect of bleach is smaller than that of any of the other forms of chlorine.
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