Question

Solve the equation
(If possible please show work)

Answer 1

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!!:)

Answer 2

`\boxed{ \bold{ \huge{ \boxed{ \sf{n = 1}}}}}`

Explanation:

`\sf{2 - 4n = 2 - 4(3 - 2n)}`

Distribute 4 through the parentheses

⇒
`\sf{ 2 - 4n = 2 - 12 + 8n}`

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

⇒
`\sf{2 - 4n - 8n = 2 - 12}`

Collect like terms

⇒
`\sf{2 - 12n = 2 - 12}`

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

⇒
`\sf{ - 12n = 2 - 12 - 2}`

Calculate

⇒
`\sf{ - 12n = - 12}`

Divide both sides of the equation by -12

⇒
`\sf{ ( - 12n)/( - 12) = ( - 12)/( - 12) }`

Calculate

⇒
`\sf{n = 1}`

Hope I helped!

Best regards!!