Let's simplify and solve the expression:

\[
3 \times 5a - 7 \times 3b - 3 \times 2a + 2 \times 9b
\]

### Step-by-step solution:

1. Multiply the coefficients:
   \[
   3 \times 5a = 15a
   \]
   \[
   7 \times 3b = 21b
   \]
   \[
   3 \times 2a = 6a
   \]
   \[
   2 \times 9b = 18b
   \]

2. Substitute these values back into the expression:
   \[
   15a - 21b - 6a + 18b
   \]

3. Combine like terms:
   - For \(a\): \(15a - 6a = 9a\)
   - For \(b\): \(-21b + 18b = -3b\)

So, the simplified expression is:

\[
9a - 3b
\]

Let me know if you'd like further details or have any questions! Here are 5 related questions to extend your understanding:

1. How do you factor expressions like \(9a - 3b\)?
2. Can you solve for \(a\) or \(b\) if more information is given?
3. What happens if there are more variables involved in similar expressions?
4. How would you solve the equation if \(a\) and \(b\) were assigned specific values?
5. How do you handle expressions involving fractions or exponents?

**Tip:** Always simplify expressions step by step by distributing coefficients and combining like terms.

Simplify the algebraic expression 3*5a - 7*3b - 3*2a + 2*9b step-by-step. Learn key algebraic concepts like the distributive property and combining like terms. Ideal for students in Grades 6-8.

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