[2k+6]=[k]

Solution for [2k+6]=[k] equation:

Simplifying
[2k + 6] = [k]

Reorder the terms:
[6 + 2k] = [k]

Remove brackets around [6 + 2k]
6 + 2k = [k]
6 + 2k = k

Solving
6 + 2k = k

Solving for variable 'k'.

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

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

Combine like terms: 2k + -1k = 1k
6 + 1k = k + -1k

Combine like terms: k + -1k = 0
6 + 1k = 0

Add '-6' to each side of the equation.
6 + -6 + 1k = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 1k = 0 + -6
1k = 0 + -6

Combine like terms: 0 + -6 = -6
1k = -6

Divide each side by '1'.
k = -6

Simplifying
k = -6