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select the reason that best supports statement 6 in the given proof please help me image attached

select the reason that best supports statement 6 in the given proof please help me image attached class=


Answer :

sqdancefan

Answer:

  B.  Distributive Property

Step-by-step explanation:

You want to know the reason in the proof that best supports the transition from 5. 99-3x = 12(x+2) to 6. 99-3x = 12x+24.

Transformation

You will notice that in the transition from

  5. 99-3x = 12(x+2)

to

  6. 99-3x = 12x+24

the expression 12(x+2) has been replaced by the expression 12x+24.

Distributive property

The property of addition and multiplication that makes it true that ...

  12(x +2) = 12x +24

is the distributive property of multiplication over addition. That property tells you that parentheses can be eliminated by multiplying each of the terms inside by the factor outside.