-(k-6)=-3k+12

Solution for -(k-6)=-3k+12 equation:

Simplifying
-1(k + -6) = -3k + 12

Reorder the terms:
-1(-6 + k) = -3k + 12
(-6 * -1 + k * -1) = -3k + 12
(6 + -1k) = -3k + 12

Reorder the terms:
6 + -1k = 12 + -3k

Solving
6 + -1k = 12 + -3k

Solving for variable 'k'.

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

Add '3k' to each side of the equation.
6 + -1k + 3k = 12 + -3k + 3k

Combine like terms: -1k + 3k = 2k
6 + 2k = 12 + -3k + 3k

Combine like terms: -3k + 3k = 0
6 + 2k = 12 + 0
6 + 2k = 12

Add '-6' to each side of the equation.
6 + -6 + 2k = 12 + -6

Combine like terms: 6 + -6 = 0
0 + 2k = 12 + -6
2k = 12 + -6

Combine like terms: 12 + -6 = 6
2k = 6

Divide each side by '2'.
k = 3

Simplifying
k = 3