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Use the distributive property to write an equivalent variable expression.

-4(2n-7)

Short Answer

Expert verified

-4(2n-7)=-8n+28.

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. -4·-7=+28

Distributive Property of Multiplication

Property: -a(b-c)=(-a)·b-(-a)·c

    4  (2n    7  )  =    4  ·  2n     4  ·  7  =    8n  +  28    4 (2n    7  )  =    8n  +  28

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