Let the plane \( ax + by + cz = d \) pass through \( (2,3,-5) \) and is perpendicular to the planes \( 2x + y - 5z = 10 \) and \( 3x + 5y - 7z = 12 \). If \( a,b,c,d \) are integers \( d>0 \) and \( \gcd\!\left(|a|,|b|,|c|,d\right)=1 \), then the value of \( a + 7b + c + 20d \) is equal to:
