What is the value of n in 4n + 2 = 6 (1/3n - 2/3) ?

4n + 2 = 6 (1/3n - 2/3) ?

Use distributed to remove parenthesis

4n+2=6 (1/3n) + 6 (-2/3)

Solve right side

4n+2=2n-4

Subtract 4n from 2n

4n-2n+2=-4

Simplify

2n+2=-4

Subtract 2 from both sides

2n=-4+2

Simplify

2n = - 2

Divide both sides by 2

2n/2=-2/2

And solve

N = - 1