3u+6+5k+u=0

Solution for 3u+6+5k+u=0 equation:

Simplifying
3u + 6 + 5k + u = 0

Reorder the terms:
6 + 5k + 3u + u = 0

Combine like terms: 3u + u = 4u
6 + 5k + 4u = 0

Solving
6 + 5k + 4u = 0

Solving for variable 'k'.

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

Add '-6' to each side of the equation.
6 + 5k + -6 + 4u = 0 + -6

Reorder the terms:
6 + -6 + 5k + 4u = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 5k + 4u = 0 + -6
5k + 4u = 0 + -6

Combine like terms: 0 + -6 = -6
5k + 4u = -6

Add '-4u' to each side of the equation.
5k + 4u + -4u = -6 + -4u

Combine like terms: 4u + -4u = 0
5k + 0 = -6 + -4u
5k = -6 + -4u

Divide each side by '5'.
k = -1.2 + -0.8u

Simplifying
k = -1.2 + -0.8u