6[1-5k]-9=57

Solution for 6[1-5k]-9=57 equation:

Simplifying
6[1 + -5k] + -9 = 57
[1 * 6 + -5k * 6] + -9 = 57
[6 + -30k] + -9 = 57

Reorder the terms:
6 + -9 + -30k = 57

Combine like terms: 6 + -9 = -3
-3 + -30k = 57

Solving
-3 + -30k = 57

Solving for variable 'k'.

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

Add '3' to each side of the equation.
-3 + 3 + -30k = 57 + 3

Combine like terms: -3 + 3 = 0
0 + -30k = 57 + 3
-30k = 57 + 3

Combine like terms: 57 + 3 = 60
-30k = 60

Divide each side by '-30'.
k = -2

Simplifying
k = -2