-12(-k)+6=2(-7-k)

Solution for -12(-k)+6=2(-7-k) equation:

Simplifying
-12(-1k) + 6 = 2(-7 + -1k)

Remove parenthesis around (-1k)
-12 * -1k + 6 = 2(-7 + -1k)

Multiply -12 * -1
12k + 6 = 2(-7 + -1k)

Reorder the terms:
6 + 12k = 2(-7 + -1k)
6 + 12k = (-7 * 2 + -1k * 2)
6 + 12k = (-14 + -2k)

Solving
6 + 12k = -14 + -2k

Solving for variable 'k'.

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

Add '2k' to each side of the equation.
6 + 12k + 2k = -14 + -2k + 2k

Combine like terms: 12k + 2k = 14k
6 + 14k = -14 + -2k + 2k

Combine like terms: -2k + 2k = 0
6 + 14k = -14 + 0
6 + 14k = -14

Add '-6' to each side of the equation.
6 + -6 + 14k = -14 + -6

Combine like terms: 6 + -6 = 0
0 + 14k = -14 + -6
14k = -14 + -6

Combine like terms: -14 + -6 = -20
14k = -20

Divide each side by '14'.
k = -1.428571429

Simplifying
k = -1.428571429