9k+6=78k+13

Solution for 9k+6=78k+13 equation:

Simplifying
9k + 6 = 78k + 13

Reorder the terms:
6 + 9k = 78k + 13

Reorder the terms:
6 + 9k = 13 + 78k

Solving
6 + 9k = 13 + 78k

Solving for variable 'k'.

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

Add '-78k' to each side of the equation.
6 + 9k + -78k = 13 + 78k + -78k

Combine like terms: 9k + -78k = -69k
6 + -69k = 13 + 78k + -78k

Combine like terms: 78k + -78k = 0
6 + -69k = 13 + 0
6 + -69k = 13

Add '-6' to each side of the equation.
6 + -6 + -69k = 13 + -6

Combine like terms: 6 + -6 = 0
0 + -69k = 13 + -6
-69k = 13 + -6

Combine like terms: 13 + -6 = 7
-69k = 7

Divide each side by '-69'.
k = -0.1014492754

Simplifying
k = -0.1014492754