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Balancing Bid (Double) - A call made based on the opponents' calls indicating their collective weakness.  The balancing player may be said to "borrow" strength from one's partner when making a reopening bid in the passout seat; some use the axiom to "borrow a King" (3 HCP).  Of course, partner must remember to deduct the offsetting points when making subsequent calls.

  A 10 9
K 2
9 8 7 6
A Q 4 3
 
Q 3 2
Q 8 7 6
K Q 2
K J 2

 
J 6 5 4
5 4 3
5 4 3
10 9 8
  K 8 7
A J 10 9
A J 10
7 6 5
 

 
  W N E S
         
  (1C) P (P) ?

North has 13 HCP but no comfortable bid, missing a 5 card suit to bid or the required 3 cards in the unbid suits needed to Double.  South has 13 points, enough to open the bidding. While making a Reopening Doubling is often appropriate, in situations such as this the balancer often does better to bid 1 Notrump without a stopper under Left Hand Opponent's bid suit.  This is based on the theory that it's better that partner likely holds stoppers behind the opening opponent.  With the favorable position of the cards here, South can actually make 3 Notrump.

Also see Books on Doubles, Balancing

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