6-4[-9-8k]=-86

Solution for 6-4[-9-8k]=-86 equation:

Simplifying
6 + -4[-9 + -8k] = -86
6 + [-9 * -4 + -8k * -4] = -86
6 + [36 + 32k] = -86

Combine like terms: 6 + 36 = 42
42 + 32k = -86

Solving
42 + 32k = -86

Solving for variable 'k'.

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

Add '-42' to each side of the equation.
42 + -42 + 32k = -86 + -42

Combine like terms: 42 + -42 = 0
0 + 32k = -86 + -42
32k = -86 + -42

Combine like terms: -86 + -42 = -128
32k = -128

Divide each side by '32'.
k = -4

Simplifying
k = -4