Write as a single fraction.
\[
-2+\frac{3 a-2 b}{6 a}+\frac{7 a-7 b}{2 a}
\]
Simplify your answer as much as possible.
Final Answer: The simplified expression is \(\boxed{2 - \frac{23b}{6a}}\)
Step 1 :Given the expression: \(-2+\frac{3 a-2 b}{6 a}+\frac{7 a-7 b}{2 a}\)
Step 2 :We need to simplify this expression into a single fraction. To do this, we need to find a common denominator for the fractions and then combine them. The common denominator in this case would be 6a.
Step 3 :We also need to convert the integer -2 into a fraction with the same denominator.
Step 4 :By doing these steps, we get the simplified expression: \(2 - \frac{23b}{6a}\)
Step 5 :Final Answer: The simplified expression is \(\boxed{2 - \frac{23b}{6a}}\)