6-7k=2k+33

Solution for 6-7k=2k+33 equation:

Simplifying
6 + -7k = 2k + 33

Reorder the terms:
6 + -7k = 33 + 2k

Solving
6 + -7k = 33 + 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 + -7k + -2k = 33 + 2k + -2k

Combine like terms: -7k + -2k = -9k
6 + -9k = 33 + 2k + -2k

Combine like terms: 2k + -2k = 0
6 + -9k = 33 + 0
6 + -9k = 33

Add '-6' to each side of the equation.
6 + -6 + -9k = 33 + -6

Combine like terms: 6 + -6 = 0
0 + -9k = 33 + -6
-9k = 33 + -6

Combine like terms: 33 + -6 = 27
-9k = 27

Divide each side by '-9'.
k = -3

Simplifying
k = -3