Question

What is the value of n in the equation 3n + 2(n + 2) = 9n + 12?

−4
−2
2
4

Answer 1

`\bold{Answer}`

`\boxed{\bold{N \ = \ -2}}`

`\bold{Explanation}`

• 
  `\bold{Solve: \ 3n+2\left(n+2\right)=9n+12}`

`\bold{--------------------------}`

• 
  `\bold{Expand \ 2\left(n+2\right): \ 2n+4}`

`\bold{3n+2n+4=9n+12}`

• 
  `\bold{Add \ Similar \ Elements: \ 3n+2n=5n}`

`\bold{5n+4=9n+12}`

• 
  `\bold{Subtract \ 4 \ From \ Both \ Sides}`

`\bold{5n+4-4=9n+12-4}`

• 
  `\bold{Simplify}`

`\bold{5n=9n+8}`

• 
  `\bold{Subtract \ 9n \ From \ Both \ Sides}`

`\bold{5n-9n=9n+8-9n}`

• 
  `\bold{Simplify}`

`\bold{-4n=8}`

• 
  `\bold{Divide \ Both \ Sides \ By \ -4}`

`\bold{(-4n)/(-4)=(8)/(-4)}`

• 
  `\bold{Simplify}`

`\bold{N \ = \ -2}`

`\boxed{\bold{Eclipsed}}`

Answer 2

−2

Explanation:

3n + 2(n + 2) = 9n + 12

Distribute

3n +2n +4 = 9n+12

5n+4 = 9n+12

Subtract 5n from each side

5n -5n+4 = 9n-5n+12

4 = 4n+12

Subtract 12 from each side

4-12 = 4n+12-12

-8 = 4n

Divide by 4

-8/4 = 4n/4

-2 = n