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

-3x-4=-1
First Step:

-3x=3
addition property of equality
distributive property of multiplication over addition
commutative property of multiplication
multiplication property of equality

When solving an equation, Gabrielle's first step is shown below. Which property justifies Gabrielle's first step?\newlineOriginal Equation:\newline3x4=1 -3 x-4=-1 \newlineFirst Step:\newline3x=3 -3 x=3 \newlineaddition property of equality\newlinedistributive property of multiplication over addition\newlinecommutative property of multiplication\newlinemultiplication property of equality

Full solution

Q. When solving an equation, Gabrielle's first step is shown below. Which property justifies Gabrielle's first step?\newlineOriginal Equation:\newline3x4=1 -3 x-4=-1 \newlineFirst Step:\newline3x=3 -3 x=3 \newlineaddition property of equality\newlinedistributive property of multiplication over addition\newlinecommutative property of multiplication\newlinemultiplication property of equality
  1. Isolate variable term: Gabrielle's first step in solving the equation is to isolate the term containing the variable on one side of the equation. The original equation is 3x4=1-3x - 4 = -1. Gabrielle's first step is to add 44 to both sides of the equation to get 3x=3-3x = 3. This step is justified by the addition property of equality, which states that if you add the same number to both sides of an equation, the equality is still maintained.

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