Let's solve the equation step by step.

Given:
\[
8 - 6(-4) = 4(-4) + 48
\]

### Step 1: Simplify both sides of the equation.

#### Left Side:
\[
8 - 6(-4)
\]
Multiply \(-6\) by \(-4\):
\[
8 + 24 = 32
\]

#### Right Side:
\[
4(-4) + 48
\]
Multiply \(4\) by \(-4\):
\[
-16 + 48 = 32
\]

### Step 2: Compare both sides.

Both sides of the equation equal 32:
\[
32 = 32
\]

### Conclusion:
The equation is true, which means both sides are equal.

Would you like more details or have any questions? Here are some related questions to explore further:

1. How do you solve equations with variables on both sides?
2. What are the rules for multiplying negative numbers?
3. Can you explain how to solve linear equations?
4. What happens if the equation is not balanced?
5. How do you simplify algebraic expressions?

**Tip:** Always simplify each part of an equation step by step to avoid mistakes.

Learn how to solve the equation 8 - 6(-4) = 4(-4) + 48 with a detailed step-by-step solution. This problem involves equations and multiplication of integers. Suitable for students in Grades 6-8.

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