Answer :

2 - 4n = 2 - 4(3 - 2n)
2 - 4n = 2 - (12 - 8n) distribute the 4
2 - 4n = 2 - 12 - 8n parentheses don’t matter anymore
2 - 4n = -10 - 8n subtract 12 from 2
2 = -10 - 4n add 4n to both sides
12 = -4n add 10 to both sides
-3=n divide both sides by -4
Hope this helps!!:)
TheAnimeGirl

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{n = 1}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{2 - 4n = 2 - 4(3 - 2n)} [/tex]

Distribute 4 through the parentheses

⇒[tex] \sf{ 2 - 4n = 2 - 12 + 8n}[/tex]

Move 8n to left hand side and change it's sign

⇒[tex] \sf{2 - 4n - 8n = 2 - 12}[/tex]

Collect like terms

⇒[tex] \sf{2 - 12n = 2 - 12}[/tex]

Move 2 to right hand side and change it's sign

⇒[tex] \sf{ - 12n = 2 - 12 - 2}[/tex]

Calculate

⇒[tex] \sf{ - 12n = - 12}[/tex]

Divide both sides of the equation by -12

⇒[tex] \sf{ \frac{ - 12n}{ - 12} = \frac{ - 12}{ - 12} }[/tex]

Calculate

⇒[tex] \sf{n = 1}[/tex]

Hope I helped!

Best regards!!

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