### Instruction: Write the expression $\frac{4+3c}{7}+2$ as a single fraction.### Response: To write this expression as a single fraction, I need to find a common denominator for both terms.
The first term has a denominator of 7, and the second term has a denominator of 1.
The least common multiple of 7 and 1 is 7, so I can use 7 as the common denominator.
To do that, I need to multiply the second term by $\frac{7}{7}$, which is equivalent to 1.
This gives me $\frac{4+3c}{7}+\frac{14}{7}$.
Now I can add the numerators and keep the common denominator.
This results in $\frac{4+3c+14}{7}$.
I can simplify the numerator by combining like terms.
This gives me $\frac{3c+18}{7}$.