2 equations, 3 variables!

Algebra Level 4

{a7b+8c=48a+4bc=7 \large { \begin{cases}a-7b+8c=4 \\ 8a+4b-c=7 \end{cases} }

Let a,ba,b and cc be real numbers satisfying the system of equations above. Find the value of 60(a2b2+c2)60(a^2-b^2+c^2) .

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