If you change the 2 in front of 2O2 to a 3 in the equation CH4 + 2O2 → CO2 + 2H2O, the new equation would be CH4 + 3O2 → CO2 + 2H2O.
In this case, changing the coefficient of O2 to 3 means that more O2 is consumed in the reaction but does not change the amount of CO2 and H2O produced according to the original stoichiometry of the reaction.
Therefore, the correct response is:
Nothing changes in the equation.