k+6=-5(k+6)

Solution for k+6=-5(k+6) equation:

Simplifying
k + 6 = -5(k + 6)

Reorder the terms:
6 + k = -5(k + 6)

Reorder the terms:
6 + k = -5(6 + k)
6 + k = (6 * -5 + k * -5)
6 + k = (-30 + -5k)

Solving
6 + k = -30 + -5k

Solving for variable 'k'.

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

Add '5k' to each side of the equation.
6 + k + 5k = -30 + -5k + 5k

Combine like terms: k + 5k = 6k
6 + 6k = -30 + -5k + 5k

Combine like terms: -5k + 5k = 0
6 + 6k = -30 + 0
6 + 6k = -30

Add '-6' to each side of the equation.
6 + -6 + 6k = -30 + -6

Combine like terms: 6 + -6 = 0
0 + 6k = -30 + -6
6k = -30 + -6

Combine like terms: -30 + -6 = -36
6k = -36

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

Simplifying
k = -6