Let's solve the equation \( 3(2a = 10) = 54 \).

1. **Step 1: Simplify the equation**  
   Inside the parentheses, we already have an equation \( 2a = 10 \). Let’s rewrite it and solve for \( a \):

   \[
   2a = 10 \implies a = \frac{10}{2} = 5
   \]

2. **Step 2: Replace \( 2a = 10 \) with its value**  
   The expression becomes:

   \[
   3 \times 10 = 54
   \]

3. **Step 3: Evaluate the left side**  

   \[
   3 \times 10 = 30
   \]

4. **Step 4: Compare both sides**  
   We now have:

   \[
   30 \neq 54
   \]

Since \( 30 \neq 54 \), **there is no valid solution** for this equation in its current form. It is **not consistent**, meaning the original setup may contain an error or contradiction.

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Do you want further insights or have any questions?

Here are 5 related questions to deepen your understanding:
1. How do you solve multi-step equations with variables and constants?
2. What are common reasons equations have no solutions?
3. How do parentheses affect the order of operations?
4. What strategies are useful for identifying inconsistent equations?
5. Can you rewrite this equation so it balances correctly?

**Tip:** Always verify both sides of an equation after solving to ensure consistency.

This guide explains how to solve the linear equation 3(2a = 10) = 54 with a detailed step-by-step breakdown. Learn about algebraic operations, solving for variables, and identifying inconsistent equations. Ideal for students in Grades 6-8.

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