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Let the total number of workers in the institution be ( N ). The total salary of all workers is ( 60N ). The total salary of the 12 officers is ( 12 \times 400 = 4800 ), and the total salary of the rest is ( (N - 12) \times 56 ).

Setting up the equation, we have:

[ 60N = 4800 + 56(N - 12) ]

Simplifying this gives:

[ 60N = 4800 + 56N - 672 ] [ 60N - 56N = 4800 - 672 ] [ 4N = 4128 ] [ N = 1032 ]

Thus, the total number of workers in the institution is 1032.

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