15k-[5k+(-1+8k)]=

Solution for 15k-[5k+(-1+8k)]= equation:

Simplifying
15k + -1[5k + (-1 + 8k)] = 0

Remove parenthesis around (-1 + 8k)
15k + -1[5k + -1 + 8k] = 0

Reorder the terms:
15k + -1[-1 + 5k + 8k] = 0

Combine like terms: 5k + 8k = 13k
15k + -1[-1 + 13k] = 0
15k + [-1 * -1 + 13k * -1] = 0
15k + [1 + -13k] = 0

Reorder the terms:
1 + 15k + -13k = 0

Combine like terms: 15k + -13k = 2k
1 + 2k = 0

Solving
1 + 2k = 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 + 2k = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 2k = 0 + -1
2k = 0 + -1

Combine like terms: 0 + -1 = -1
2k = -1

Divide each side by '2'.
k = -0.5

Simplifying
k = -0.5