Simple question.... hard answer lol

What & how are the best ways to balance your range??

Depends what kind of spot you're talking about. (Pre-flop is quite different to the river).

If it's the river and you think a pot-sized bet is appropriate for your range, then you would typically bet the best combos for value and you would bet about half as many bluff combos, usually picking the hands with the lowest amount of showdown value but containing blockers to villain's calling range if possible. You'd check with your mid-strength hands.

On the earlier streets it's much harder to decide on an accurate weighting between value hands and semi-bluffs, but the "best" bluffs would typically be hands that almost certainly aren't winning, but contain blockers, and could improve to the best hand.

e.g. If you were on the button as the PFR and the flop came A85, then top of your range would be AA, followed by 88, 55 and A8, so you bet those for value. The most obvious hands to use to balance would be stuff like 76s, 97s, 64s, since these benefit from fold equity (6-high isn't going to win at showdown!), but they have outs to a straight. On that A85 flop, you'd typically check back KK, QQ, JJ etc, as these hands are neither fat value hands (they can't triple barrel and get called by worse) or bluffs (no better hands fold).

What would a example be for the river? what would be a calling range for villain be?

Would bluffing on a board of Kc 7d Tc 4h 3s with T9 or TJ be a good bluff?

It would be a weird player that triple barrels with 2nd pair.
More obvious bluffs on that board would be QJ, Q9s, J9s, J8s, 98s, since none of these even beat ace high.

yea JT and T9 are kinda textbook bad bluffing hands in that situation. you get called by better and fold out worse. I guess you could do it if you had a read on a player and knew that he would fold KJ-KQ to a triple barrel.

First you gotta determine which type of board you're looking at which is determined by the cards that fall and the ranges involved. In typical situations where someone raises preflop on the button and only the big blind calls:

AA6r = very static = low equity bluffs in position will be profitable = bluff with the best junk hands like 87s with a backdoor flushdraw.

567r = very dynamic = low equity bluffs in position will not be profitable = bluff with the best draws.

turn cards: AA6 - T = you've been called on the flop so the big blind likely has something half decent = low equity bluffs will not be profitable = bluff with the best draws and give up with pure junk. edit: vs really good players I believe it necessary to mix in low frequency bluffs with really bad hands here in order to keep em calling on the river. I think this is unnecessary vs bad players.

567r - K = you've been called on the flop so the big blind likely has something half decent, but this card is good for the button = continue to bluff with the best draws and give up with the weaker draws. Also important to mix in low frequency bluffs with weak draws so that you're not too strong on draw completing rivers.

river cards: AA6 - T - 2 = very static runout = good for the button = bluff with the bottom of your range that can't win showdown.

567 - K - 9 = dynamic runout = good for the big blind = bluff less often, but still with the bottom of your range.

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Now go download equilab for free and start analyzing range vs range equity to help determine which type of board you're looking at for lots of different situations like utg 6 max vs btn call, or cutoff vs button call, or cutoff vs big blind, etc.

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Suggested reading:

http://forumserver.twoplustwo.com/15...00/?highlight=