-2((k-1)(-3)-1*2)-(-(-4))=-(4-2K)

Solution for -2((k-1)(-3)-1*2)-(-(-4))=-(4-2K) equation:

Simplifying
-2((k + -1)(-3) + -1 * 2) + -1(-1(-4)) = -1(4 + -2K)

Reorder the terms:
-2((-1 + k)(-3) + -1 * 2) + -1(-1(-4)) = -1(4 + -2K)

Reorder the terms for easier multiplication:
-2(-3(-1 + k) + -1 * 2) + -1(-1(-4)) = -1(4 + -2K)
-2((-1 * -3 + k * -3) + -1 * 2) + -1(-1(-4)) = -1(4 + -2K)
-2((3 + -3k) + -1 * 2) + -1(-1(-4)) = -1(4 + -2K)

Multiply -1 * 2
-2(3 + -3k + -2) + -1(-1(-4)) = -1(4 + -2K)

Reorder the terms:
-2(3 + -2 + -3k) + -1(-1(-4)) = -1(4 + -2K)

Combine like terms: 3 + -2 = 1
-2(1 + -3k) + -1(-1(-4)) = -1(4 + -2K)
(1 * -2 + -3k * -2) + -1(-1(-4)) = -1(4 + -2K)
(-2 + 6k) + -1(-1(-4)) = -1(4 + -2K)

Multiply -1 * -4
-2 + 6k + -1(4) = -1(4 + -2K)

Multiply -1 * 4
-2 + 6k + -4 = -1(4 + -2K)

Reorder the terms:
-2 + -4 + 6k = -1(4 + -2K)

Combine like terms: -2 + -4 = -6
-6 + 6k = -1(4 + -2K)
-6 + 6k = (4 * -1 + -2K * -1)
-6 + 6k = (-4 + 2K)

Solving
-6 + 6k = -4 + 2K

Solving for variable 'k'.

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

Add '6' to each side of the equation.
-6 + 6 + 6k = -4 + 6 + 2K

Combine like terms: -6 + 6 = 0
0 + 6k = -4 + 6 + 2K
6k = -4 + 6 + 2K

Combine like terms: -4 + 6 = 2
6k = 2 + 2K

Divide each side by '6'.
k = 0.3333333333 + 0.3333333333K

Simplifying
k = 0.3333333333 + 0.3333333333K