2010 + 2007×(1/3 - 1/2010) + 3×(1/2007 - 1/2010) - 2010×(1/2007 + 1/3)
= 2010 + 2007/3 - 2007/2010 + 3/2007 - 3/2010 - 2010/2007 - 2010/3
= 2010 + (2007/3 - 2010/3) - (2007/2010 + 3/2010) + (3/2007 - 2010/2007)
= 2010 + (-3/3) - (2010/2010) + (-2007/2007)
= 2010 - 1 + 1 - 1
= 2009