josesantanapojo
josesantanapojo josesantanapojo
  • 15-08-2019
  • Mathematics
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Create an equivalent expression by simplifying the expression below.

-1/2 [-3/2c + 6c + 1] - 3c

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jimrgrant1 jimrgrant1
  • 15-08-2019

Answer:

see explanation

Step-by-step explanation:

Given

- [tex]\frac{1}{2}[/tex] [ - [tex]\frac{3}{2}[/tex] c + 6c + 1 ] - 3c

Distribute the square bracket by - [tex]\frac{1}{2}[/tex]

= [tex]\frac{3}{4}[/tex] c - 3c - [tex]\frac{1}{2}[/tex] - 3c ← combine like terms

= [tex]\frac{3}{4}[/tex] c - 6c - [tex]\frac{1}{2}[/tex]

= [tex]\frac{3}{4}[/tex] c - [tex]\frac{24}{4}[/tex] c - [tex]\frac{1}{2}[/tex]

= - [tex]\frac{21}{4}[/tex] c - [tex]\frac{1}{2}[/tex]

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