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Default Random range averaging

I would like to have Excel generate a range of random integers in cells A1 to
A40 and have the final average of that entire range = 4.2 (or any numeric
value I stipulate). I also want to place a constraint on each cell; that it
can only contain an integer and a minimum/maximum range of say, -6 to +14.
Is this possible? Thanks!

Steve C
 
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