Mistakes give rise to problems- 7

Algebra Level 4

abc=abc\large \displaystyle \dfrac{a}{\frac{b}{c}} = \dfrac{\frac{a}{b}}{c}

The above equation is a common mistake made when interpreting fractions.

How many ordered triplets of integers (a,b,c){(a,b,c)} with 10a,b,c10-10\leq a,b,c \leq 10 are there, such that the above equation is a true statement?

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