J.R. S. answered 01/20/21
Ph.D. University Professor with 10+ years Tutoring Experience
Any time there is a combustion reaction of a carbon/hydrogen containing compound, the products will be CO2 (carbon dioxide) and H2O (water). It is basically an oxidation and reduction reaction because oxygen gas (O2) is being used and is converted to CO2 and H2O. At any rate, the way to balance these is to first balance the C atoms.
C13H18O2 + O2 ==> CO2 + H2O
C13H18O2 + O2 ==> 13CO2 + H2O balanced for C ... next balance H atoms
C13H18O2 + O2 ==> 13CO2 + 9H2O balanced for C and H ... finally balance the O atoms
C13H18O2 + 16.5 O2 ==> 13CO2 + 9H2O balanced for C, H and O, but we don't want fractions (multiply by 2)
2C13H18O2 + 33 O2 ==> 26CO2 + 18H2O final balanced equation