On one Arkhipov–Karatsuba's system of congruencies

The Arkhipov–Karatsuba's system of congruencies by arbitrary modulo, greater than a degree of forms in it, has a solution for any right-hand parts, and for the number on unknowns exceeding the value $8(n+1)^2\log_2n+12(n+1)^2+4(n+1),$ where $n$ is the degree of forms of this system.
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