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Use the distributive property to write an equivalent variable expression.

6(2p+1)

Short Answer

Expert verified

6(2p+1)=12p+6.

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: 12(3+4)=12·3+12·4=36+48=84

03

Step-3:  Evaluate the expression using the distributive property. 

Distributive Property of Multiplication

Property: a(b+c)=a·b+a·c

6  (2p+1)=  6  ·  2p  +  6  ·  1  =  12p  +  66  (2p+1)=  12p+  6

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