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When solving an equation, Francesca's first step is shown below. Which property justifies Francesca's first step?
Original Equation:

4x*-2=2
First Step:

4*-2x=2
division property of equality
commutative property of multiplication
associative property of multiplication
addition property of equality

When solving an equation, Francesca's first step is shown below. Which property justifies Francesca's first step?\newlineOriginal Equation:\newline4x2=2 4 x \cdot-2=2 \newlineFirst Step:\newline42x=2 4 \cdot-2 x=2 \newlinedivision property of equality\newlinecommutative property of multiplication\newlineassociative property of multiplication\newlineaddition property of equality

Full solution

Q. When solving an equation, Francesca's first step is shown below. Which property justifies Francesca's first step?\newlineOriginal Equation:\newline4x2=2 4 x \cdot-2=2 \newlineFirst Step:\newline42x=2 4 \cdot-2 x=2 \newlinedivision property of equality\newlinecommutative property of multiplication\newlineassociative property of multiplication\newlineaddition property of equality
  1. Original Equation: Francesca's Original Equation is:\newline4x×2=24x \times -2 = 2\newlineHer First Step is:\newline4×2x=24 \times -2x = 2\newlineWe need to identify which property allows the rearrangement of the terms in the multiplication.\newlineThe Commutative Property of Multiplication states that you can change the order of the factors and the product will remain the same.\newlineIn this case, Francesca changed the order of the factors from (4x)×(2)(4x) \times (-2) to 4×(2x)4 \times (-2x).

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