Let's solve the equation \( 16 = -4(b - 8) \) step by step.

### Step 1: Distribute the \(-4\) on the right-hand side.
\[
16 = -4b + 32
\]

### Step 2: Subtract 32 from both sides to isolate the term with \(b\).
\[
16 - 32 = -4b
\]
\[
-16 = -4b
\]

### Step 3: Divide both sides by \(-4\) to solve for \(b\).
\[
b = \frac{-16}{-4}
\]
\[
b = 4
\]

Thus, the solution is \( b = 4 \).

Would you like more details on any step or have any questions?

Here are 5 related questions:
1. How do you solve linear equations with variables on both sides?
2. What happens when you multiply or divide both sides of an equation by a negative number?
3. How would you solve \( 20 = -5(x - 3) \)?
4. Can you explain the distributive property in more detail?
5. How can we check if our solution to a linear equation is correct?

**Tip**: Always distribute negative signs carefully, as it's a common source of errors when solving equations!

Learn how to solve the linear equation 16 = -4(b - 8) using the distributive property and other algebraic techniques. This problem demonstrates key concepts like distributing negatives and isolating the variable, perfect for students in Grades 6-8.

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