The given equation is:

\[
8(3g + 2) - 3* = 3(5g - 4) - 2
\]

It appears that the \( * \) in the equation may have been a typo. Could you clarify whether this symbol was intentional? If not, I will proceed by assuming it's an error.

For now, I'll solve the equation by ignoring the \( * \), assuming the intended equation is:

\[
8(3g + 2) - 3 = 3(5g - 4) - 2
\]

### Steps:

1. **Distribute the constants** on both sides:
   \[
   8(3g + 2) = 24g + 16
   \]
   \[
   3(5g - 4) = 15g - 12
   \]

   This transforms the equation to:
   \[
   24g + 16 - 3 = 15g - 12 - 2
   \]

2. **Simplify both sides**:
   Left-hand side:
   \[
   24g + 16 - 3 = 24g + 13
   \]
   Right-hand side:
   \[
   15g - 12 - 2 = 15g - 14
   \]

   So the equation becomes:
   \[
   24g + 13 = 15g - 14
   \]

3. **Move the variables to one side** and the constants to the other:
   \[
   24g - 15g = -14 - 13
   \]
   Simplifying:
   \[
   9g = -27
   \]

4. **Solve for \( g \)**:
   \[
   g = \frac{-27}{9} = -3
   \]

Thus, the solution is:
\[
g = -3
\]

Would you like more details or have any questions about this solution?

### Related questions:
1. How do you solve an equation with multiple variables?
2. What is the difference between distributing and factoring?
3. Can equations with different symbols (like \( * \)) have different interpretations?
4. How do you check if your solution is correct?
5. What happens if there's no solution to an equation?

**Tip:** Always double-check for typos or unintended symbols in your equations before solving!

Learn how to solve the linear equation 8(3g + 2) - 3 = 3(5g - 4) - 2 step-by-step. This problem involves distributing constants, simplifying expressions, and solving for the variable g. Suitable for students in Grades 9-12.

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