To determine which property justifies Steven's step from the equation \( 4(x + 6) = 2x - 8 \) to the next step, we need to analyze what type of operation is being performed.
Assuming that Step 1 is the original equation \( 4(x + 6) = 2x - 8 \), and Step 2 involves simplification or manipulation of both sides of the equation:
- If Steven applies the Distributive Property to the left side, it will result in \( 4x + 24 = 2x - 8 \). Therefore, this justifies moving from Step 1 to Step 2.
- If the operation involved was moving terms from one side of the equation to the other, it could involve the Subtraction Property of Equality or Addition Property of Equality.
- The Division Property of Equality would apply if he divided by a common factor in both sides of the equation.
Based on the normal sequence for solving an equation like this, if Step 2 involved simplifying \( 4(x + 6) \) by distributing the 4, then the correct justification is:
Distributive property of equality.