6=(2k+1)

Solution for 6=(2k+1) equation:

Simplifying
6 = (2k + 1)

Reorder the terms:
6 = (1 + 2k)

Remove parenthesis around (1 + 2k)
6 = 1 + 2k

Solving
6 = 1 + 2k

Solving for variable 'k'.

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

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

Combine like terms: 2k + -2k = 0
6 + -2k = 1 + 0
6 + -2k = 1

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

Combine like terms: 6 + -6 = 0
0 + -2k = 1 + -6
-2k = 1 + -6

Combine like terms: 1 + -6 = -5
-2k = -5

Divide each side by '-2'.
k = 2.5

Simplifying
k = 2.5