4n+2=3(2n-2)+9

Solution for 4n+2=3(2n-2)+9 equation:

Simplifying
4n + 2 = 3(2n + -2) + 9

Reorder the terms:
2 + 4n = 3(2n + -2) + 9

Reorder the terms:
2 + 4n = 3(-2 + 2n) + 9
2 + 4n = (-2 * 3 + 2n * 3) + 9
2 + 4n = (-6 + 6n) + 9

Reorder the terms:
2 + 4n = -6 + 9 + 6n

Combine like terms: -6 + 9 = 3
2 + 4n = 3 + 6n

Solving
2 + 4n = 3 + 6n

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '-6n' to each side of the equation.
2 + 4n + -6n = 3 + 6n + -6n

Combine like terms: 4n + -6n = -2n
2 + -2n = 3 + 6n + -6n

Combine like terms: 6n + -6n = 0
2 + -2n = 3 + 0
2 + -2n = 3

Add '-2' to each side of the equation.
2 + -2 + -2n = 3 + -2

Combine like terms: 2 + -2 = 0
0 + -2n = 3 + -2
-2n = 3 + -2

Combine like terms: 3 + -2 = 1
-2n = 1

Divide each side by '-2'.
n = -0.5

Simplifying
n = -0.5