6-[2n+3]-4n=6

Solution for 6-[2n+3]-4n=6 equation:

Simplifying
6 + -1[2n + 3] + -4n = 6

Reorder the terms:
6 + -1[3 + 2n] + -4n = 6
6 + [3 * -1 + 2n * -1] + -4n = 6
6 + [-3 + -2n] + -4n = 6

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

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

Solving
3 + -6n = 6

Solving for variable 'n'.

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

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

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

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

Divide each side by '-6'.
n = -0.5

Simplifying
n = -0.5