Let's solve the equation step by step:

The given equation is:

\[
-3(-2x + 8) = -72
\]

### Step 1: Distribute the \(-3\) to both terms inside the parentheses.

\[
-3 \times (-2x) + (-3) \times 8 = -72
\]

This simplifies to:

\[
6x - 24 = -72
\]

### Step 2: Add 24 to both sides to isolate the term with \(x\).

\[
6x - 24 + 24 = -72 + 24
\]

\[
6x = -48
\]

### Step 3: Divide both sides by 6 to solve for \(x\).

\[
x = \frac{-48}{6}
\]

\[
x = -8
\]

### Final Answer:

\[
x = -8
\]

Would you like further details on any of the steps?

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Here are some related questions to further explore:

1. How do you solve multi-step equations involving distribution?
2. What happens if the signs inside the parentheses are different?
3. Can you solve similar equations with fractions involved?
4. What would happen if the equation had decimals instead of integers?
5. How can you check your solution to ensure it's correct?

**Tip:** Always remember to perform the same operation on both sides of an equation to maintain balance!

Learn how to solve the linear equation -3(-2x + 8) = -72 step-by-step by applying the distributive property and isolating the variable. This problem covers key algebraic concepts, including solving multi-step equations and maintaining balance. Suitable for students in Grades 6-8.

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