12k-[2k+(-1+5k)]=

Solution for 12k-[2k+(-1+5k)]= equation:

Simplifying
12k + -1[2k + (-1 + 5k)] = 0

Remove parenthesis around (-1 + 5k)
12k + -1[2k + -1 + 5k] = 0

Reorder the terms:
12k + -1[-1 + 2k + 5k] = 0

Combine like terms: 2k + 5k = 7k
12k + -1[-1 + 7k] = 0
12k + [-1 * -1 + 7k * -1] = 0
12k + [1 + -7k] = 0

Reorder the terms:
1 + 12k + -7k = 0

Combine like terms: 12k + -7k = 5k
1 + 5k = 0

Solving
1 + 5k = 0

Solving for variable 'k'.

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

Add '-1' to each side of the equation.
1 + -1 + 5k = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 5k = 0 + -1
5k = 0 + -1

Combine like terms: 0 + -1 = -1
5k = -1

Divide each side by '5'.
k = -0.2

Simplifying
k = -0.2