2-[k-[6k-(1-2k)]]=100

Solution for 2-[k-[6k-(1-2k)]]=100 equation:

Simplifying
2 + -1[k + -1[6k + -1(1 + -2k)]] = 100
2 + -1[k + -1[6k + (1 * -1 + -2k * -1)]] = 100
2 + -1[k + -1[6k + (-1 + 2k)]] = 100

Reorder the terms:
2 + -1[k + -1[-1 + 6k + 2k]] = 100

Combine like terms: 6k + 2k = 8k
2 + -1[k + -1[-1 + 8k]] = 100
2 + -1[k + [-1 * -1 + 8k * -1]] = 100
2 + -1[k + [1 + -8k]] = 100

Reorder the terms:
2 + -1[1 + k + -8k] = 100

Combine like terms: k + -8k = -7k
2 + -1[1 + -7k] = 100
2 + [1 * -1 + -7k * -1] = 100
2 + [-1 + 7k] = 100

Combine like terms: 2 + -1 = 1
1 + 7k = 100

Solving
1 + 7k = 100

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 + 7k = 100 + -1

Combine like terms: 1 + -1 = 0
0 + 7k = 100 + -1
7k = 100 + -1

Combine like terms: 100 + -1 = 99
7k = 99

Divide each side by '7'.
k = 14.14285714

Simplifying
k = 14.14285714