6-7k=-3(k+6)

Solution for 6-7k=-3(k+6) equation:

Simplifying
6 + -7k = -3(k + 6)

Reorder the terms:
6 + -7k = -3(6 + k)
6 + -7k = (6 * -3 + k * -3)
6 + -7k = (-18 + -3k)

Solving
6 + -7k = -18 + -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 + -7k + 3k = -18 + -3k + 3k

Combine like terms: -7k + 3k = -4k
6 + -4k = -18 + -3k + 3k

Combine like terms: -3k + 3k = 0
6 + -4k = -18 + 0
6 + -4k = -18

Add '-6' to each side of the equation.
6 + -6 + -4k = -18 + -6

Combine like terms: 6 + -6 = 0
0 + -4k = -18 + -6
-4k = -18 + -6

Combine like terms: -18 + -6 = -24
-4k = -24

Divide each side by '-4'.
k = 6

Simplifying
k = 6