Let's expand and simplify the expression provided in the image:

$3(6c - 4) + 7c$

Step 1: Expand the brackets

Distribute the $3$ to both terms inside the brackets:

$3 \times 6c = 18c$ $3 \times -4 = -12$

This gives us the expanded expression:

$18c - 12 + 7c$

Step 2: Simplify the expression

Combine like terms. In this case, we can combine the terms involving $c$:

$18c + 7c = 25c$

So, the simplified expression is:

$25c - 12$

Final Answer:

$25c - 12$

Would you like more details or have any further questions?

Here are five related questions for further practice:

1. How would you simplify $4(3x - 5) + 2x$?
2. Can you solve the expression $5(2y + 1) - 3y + 6$?
3. What happens if we expand and simplify $7(4m + 3) + 5m - 2$?
4. How do you factor the expression $20a + 15b$?
5. What is the expanded form of $2(3x - 4) + 4(2x + 1)$?

Tip: Always distribute terms carefully when expanding brackets, and don't forget to combine like terms!