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Use the distributive property to write an equivalent variable expression.

-2(6y-4)

Short Answer

Expert verified

-2(6y-4)=-12y+8.

Step by step solution

01

Step-1 – What are real numbers? 

Real numbers are simply the combination of Whole numbers, Integers, Rational and Irrational numbers in the number system.

02

Step-2 – Distributive Property of Multiplication 

Suppose a, b, and c is three real numbers.

Distributive Property of Multiplication

Property: -a(b-c)=(-a)·b-(-a)·c

Example: -3(8-5)=(-3)·8-(-3)·5=-24+15=-9

03

Step-3:  Use the distributive property to evaluate the expression.

We know that double negative is always positive. -2·-4=+8

Distributive Property of Multiplication

Property: -a(b-c)=(-a)·b-(-a)·c

  2  (6y    4  )  =    2  ·  6y     2  ·  4  =    12y  +  8    2 (6y    4  )  =    12y  +  8

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