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The equation of a line through the mid-...

The equation of a line through the mid-point of the sides AB and AD of rhombus ABCD, whose one diagonal is `3x-4y+5=0` and one vertex is A(3, 1) is `ax+by+c=0`. Find the absolute value of `(a+b+c)` where a, b, c are integers expressed in lowest form.

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