4n+6-2n=.5(2n+6)

Solution for 4n+6-2n=.5(2n+6) equation:

Simplifying
4n + 6 + -2n = 0.5(2n + 6)

Reorder the terms:
6 + 4n + -2n = 0.5(2n + 6)

Combine like terms: 4n + -2n = 2n
6 + 2n = 0.5(2n + 6)

Reorder the terms:
6 + 2n = 0.5(6 + 2n)
6 + 2n = (6 * 0.5 + 2n * 0.5)
6 + 2n = (3 + 1n)

Solving
6 + 2n = 3 + 1n

Solving for variable 'n'.

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

Add '-1n' to each side of the equation.
6 + 2n + -1n = 3 + 1n + -1n

Combine like terms: 2n + -1n = 1n
6 + 1n = 3 + 1n + -1n

Combine like terms: 1n + -1n = 0
6 + 1n = 3 + 0
6 + 1n = 3

Add '-6' to each side of the equation.
6 + -6 + 1n = 3 + -6

Combine like terms: 6 + -6 = 0
0 + 1n = 3 + -6
1n = 3 + -6

Combine like terms: 3 + -6 = -3
1n = -3

Divide each side by '1'.
n = -3

Simplifying
n = -3