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Which choice gives a valid first step to solve 2(w − 3) = 5? Exclude any choice where the explanation for the step is false.

A. Divide each side by 2. You can then subtract 6 from each side to solve for x.
B. Divide each side by 2. You end up with fewer terms.
C. Use the Distributive Property. You then only have to subtract 6 from each side to solve for x.
D. Use the Distributive Property. You clear the parentheses and then solve the two-step equation.

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quasarJose

Answer:

D. Use the Distributive Property. You clear the parentheses and then solve the two-step equation.

Step-by-step explanation:

Given problem;

         2(w − 3) = 5

To solve this problem:

   Use the distributive property to clear the parentheses;

     2w - 6 = 5

 Then, collect like terms, add 6 to both sides;

    2w  = 5 + 6

    2w  = 11

  Now divide both terms by 2

     w = [tex]\frac{11}{2}[/tex] Â