-86=-8k-6(1-3k)

Solution for -86=-8k-6(1-3k) equation:

Simplifying
-86 = -8k + -6(1 + -3k)
-86 = -8k + (1 * -6 + -3k * -6)
-86 = -8k + (-6 + 18k)

Reorder the terms:
-86 = -6 + -8k + 18k

Combine like terms: -8k + 18k = 10k
-86 = -6 + 10k

Solving
-86 = -6 + 10k

Solving for variable 'k'.

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

Add '-10k' to each side of the equation.
-86 + -10k = -6 + 10k + -10k

Combine like terms: 10k + -10k = 0
-86 + -10k = -6 + 0
-86 + -10k = -6

Add '86' to each side of the equation.
-86 + 86 + -10k = -6 + 86

Combine like terms: -86 + 86 = 0
0 + -10k = -6 + 86
-10k = -6 + 86

Combine like terms: -6 + 86 = 80
-10k = 80

Divide each side by '-10'.
k = -8

Simplifying
k = -8