-6-11k+5k=-10(-k-9)+3(k+6)

Solution for -6-11k+5k=-10(-k-9)+3(k+6) equation:

Simplifying
-6 + -11k + 5k = -10(-1k + -9) + 3(k + 6)

Combine like terms: -11k + 5k = -6k
-6 + -6k = -10(-1k + -9) + 3(k + 6)

Reorder the terms:
-6 + -6k = -10(-9 + -1k) + 3(k + 6)
-6 + -6k = (-9 * -10 + -1k * -10) + 3(k + 6)
-6 + -6k = (90 + 10k) + 3(k + 6)

Reorder the terms:
-6 + -6k = 90 + 10k + 3(6 + k)
-6 + -6k = 90 + 10k + (6 * 3 + k * 3)
-6 + -6k = 90 + 10k + (18 + 3k)

Reorder the terms:
-6 + -6k = 90 + 18 + 10k + 3k

Combine like terms: 90 + 18 = 108
-6 + -6k = 108 + 10k + 3k

Combine like terms: 10k + 3k = 13k
-6 + -6k = 108 + 13k

Solving
-6 + -6k = 108 + 13k

Solving for variable 'k'.

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

Add '-13k' to each side of the equation.
-6 + -6k + -13k = 108 + 13k + -13k

Combine like terms: -6k + -13k = -19k
-6 + -19k = 108 + 13k + -13k

Combine like terms: 13k + -13k = 0
-6 + -19k = 108 + 0
-6 + -19k = 108

Add '6' to each side of the equation.
-6 + 6 + -19k = 108 + 6

Combine like terms: -6 + 6 = 0
0 + -19k = 108 + 6
-19k = 108 + 6

Combine like terms: 108 + 6 = 114
-19k = 114

Divide each side by '-19'.
k = -6

Simplifying
k = -6