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Find the values of the variables.

[[-12,-w^(2)],[2f,3]]=[[2k,-81],[-14,3]]

To find the values of the variables w, f, and k, we can set up an equation for each entry in the matrices.

From the first row:
-12 = 2k
k = -6

-w^2 = -81
w^2 = 81
w = ±9

From the second row:
2f = -14
f = -7

So the values of the variables are:
w = ±9
f = -7
k = -6