6-2k=-6(-7k-1)

Solution for 6-2k=-6(-7k-1) equation:

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

Reorder the terms:
6 + -2k = -6(-1 + -7k)
6 + -2k = (-1 * -6 + -7k * -6)
6 + -2k = (6 + 42k)

Add '-6' to each side of the equation.
6 + -6 + -2k = 6 + -6 + 42k

Combine like terms: 6 + -6 = 0
0 + -2k = 6 + -6 + 42k
-2k = 6 + -6 + 42k

Combine like terms: 6 + -6 = 0
-2k = 0 + 42k
-2k = 42k

Solving
-2k = 42k

Solving for variable 'k'.

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

Add '-42k' to each side of the equation.
-2k + -42k = 42k + -42k

Combine like terms: -2k + -42k = -44k
-44k = 42k + -42k

Combine like terms: 42k + -42k = 0
-44k = 0

Divide each side by '-44'.
k = 0

Simplifying
k = 0