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

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

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

Reorder the terms:
-2(-3 + k) = -2(4k + -1)
(-3 * -2 + k * -2) = -2(4k + -1)
(6 + -2k) = -2(4k + -1)

Reorder the terms:
6 + -2k = -2(-1 + 4k)
6 + -2k = (-1 * -2 + 4k * -2)
6 + -2k = (2 + -8k)

Solving
6 + -2k = 2 + -8k

Solving for variable 'k'.

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

Add '8k' to each side of the equation.
6 + -2k + 8k = 2 + -8k + 8k

Combine like terms: -2k + 8k = 6k
6 + 6k = 2 + -8k + 8k

Combine like terms: -8k + 8k = 0
6 + 6k = 2 + 0
6 + 6k = 2

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

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

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

Divide each side by '6'.
k = -0.6666666667

Simplifying
k = -0.6666666667