Balancing the tri-iodomethane equation!

Chemistry Level 3

The following shows the equation for a tri-iodomethane reaction: $a\text{CH}_3\text{COR} + b\text{I}_2 + c\text{OH}^- \rightarrow d\text{CHI}_3 + e\text{I}^- + f\text{H}_2\text{O} + g\text{O}^-\text{COR}$

If the coefficients take their lowest possible integer values, what is the value of $$a + b + c + d + e + f + g?$$

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