To simplify the given expression, we need to follow the order of operations, including distributing and combining like terms.

Given Expression:

$18 + 7(4c - 2) - 15c$

Step 1: Distribute the 7

Multiply 7 by each term inside the parentheses:

$7 \times 4c = 28c \quad \text{and} \quad 7 \times -2 = -14$

So, the expression becomes:

$18 + 28c - 14 - 15c$

Step 2: Combine Like Terms

Group and combine the constants and the terms with $c$:

$(18 - 14) + (28c - 15c)$

Simplify each group:

$4 + 13c$

Final Simplified Expression:

$13c + 4$

Would you like a more detailed explanation or have any questions?

Related Questions:

1. How do you simplify expressions involving distribution and combining like terms?
2. What are the steps to simplify expressions with multiple parentheses?
3. How can you identify and group like terms in an algebraic expression?
4. How does the order of operations apply when simplifying expressions?
5. How do you handle subtraction signs when distributing across parentheses?

Tip: Always distribute multiplication before combining like terms to avoid mistakes in simplification.