To determine which property of equality is displayed in step 3 while solving the equation \( 9m + 4 - 7m = 5m + 73 \), we need to first interpret what step 3 might involve in the context of solving this equation.
Let's break down the initial equation:
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Combine like terms on the left side: \[ (9m - 7m) + 4 = 5m + 73 \implies 2m + 4 = 5m + 73 \]
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Now, isolate the variable \( m \). If step 3 involves moving \( 5m \) to the left side or \( 4 \) to the right side, we would either be subtracting \( 5m \) from both sides or subtracting \( 4 \) from both sides.
If we take, for example, trying to isolate \( m \) by subtracting \( 5m \): \[ 2m + 4 - 5m = 73 \implies -3m + 4 = 73 \] This would showcase the Subtraction Property of Equality, since we subtracted \( 5m \) from both sides.
If instead, we were to subtract \( 4 \) from both sides to further simplify, we would use the same Subtraction Property of Equality.
So depending on what exactly step 3 does (whether it’s moving terms from one side to another), the property exhibited is the Subtraction Property of Equality.
Therefore, if step 3 involves subtracting a term from both sides, then the answer is:
Subtraction Property of Equality
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