Let's solve the equation step by step:

\[
10b = 4(2b + 5) - 6
\]

### Step 1: Distribute the 4 on the right-hand side.
\[
10b = 4 \times 2b + 4 \times 5 - 6
\]
\[
10b = 8b + 20 - 6
\]

### Step 2: Simplify the right-hand side.
\[
10b = 8b + 14
\]

### Step 3: Move the \(8b\) from the right-hand side to the left-hand side.
\[
10b - 8b = 14
\]
\[
2b = 14
\]

### Step 4: Solve for \(b\).
\[
b = \frac{14}{2}
\]
\[
b = 7
\]

### Final Answer: 
\(b = 7\)

Would you like more details or explanations?

Here are 5 related questions:
1. How do you handle equations with fractions?
2. What happens if variables appear on both sides of an equation?
3. Can you solve inequalities in a similar way?
4. How do you check if a solution to an equation is correct?
5. How do you solve equations with exponents?

**Tip:** Always double-check your steps by substituting your solution back into the original equation to ensure it holds true.

Explore the solution to the linear equation 10b = 4(2b + 5) - 6 with a step-by-step breakdown. This problem involves the distributive property and variable isolation, ideal for students in Grades 6-8.

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