k+6=8k+13

Solution for k+6=8k+13 equation:

Simplifying
k + 6 = 8k + 13

Reorder the terms:
6 + k = 8k + 13

Reorder the terms:
6 + k = 13 + 8k

Solving
6 + k = 13 + 8k

Solving for variable 'k'.

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

Add '-8k' to each side of the equation.
6 + k + -8k = 13 + 8k + -8k

Combine like terms: k + -8k = -7k
6 + -7k = 13 + 8k + -8k

Combine like terms: 8k + -8k = 0
6 + -7k = 13 + 0
6 + -7k = 13

Add '-6' to each side of the equation.
6 + -6 + -7k = 13 + -6

Combine like terms: 6 + -6 = 0
0 + -7k = 13 + -6
-7k = 13 + -6

Combine like terms: 13 + -6 = 7
-7k = 7

Divide each side by '-7'.
k = -1

Simplifying
k = -1