7k+6=k+6+8k-12

Solution for 7k+6=k+6+8k-12 equation:

Simplifying
7k + 6 = k + 6 + 8k + -12

Reorder the terms:
6 + 7k = k + 6 + 8k + -12

Reorder the terms:
6 + 7k = 6 + -12 + k + 8k

Combine like terms: 6 + -12 = -6
6 + 7k = -6 + k + 8k

Combine like terms: k + 8k = 9k
6 + 7k = -6 + 9k

Solving
6 + 7k = -6 + 9k

Solving for variable 'k'.

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

Add '-9k' to each side of the equation.
6 + 7k + -9k = -6 + 9k + -9k

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

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

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

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

Combine like terms: -6 + -6 = -12
-2k = -12

Divide each side by '-2'.
k = 6

Simplifying
k = 6