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