6=-2(k-18)

Solution for 6=-2(k-18) equation:

Simplifying
6 = -2(k + -18)

Reorder the terms:
6 = -2(-18 + k)
6 = (-18 * -2 + k * -2)
6 = (36 + -2k)

Solving
6 = 36 + -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 + 2k = 36 + -2k + 2k

Combine like terms: -2k + 2k = 0
6 + 2k = 36 + 0
6 + 2k = 36

Add '-6' to each side of the equation.
6 + -6 + 2k = 36 + -6

Combine like terms: 6 + -6 = 0
0 + 2k = 36 + -6
2k = 36 + -6

Combine like terms: 36 + -6 = 30
2k = 30

Divide each side by '2'.
k = 15

Simplifying
k = 15