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

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

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

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

Combine like terms: 42k + 7k = 49k
-6 + 7k = -6 + 49k

Add '6' to each side of the equation.
-6 + 6 + 7k = -6 + 6 + 49k

Combine like terms: -6 + 6 = 0
0 + 7k = -6 + 6 + 49k
7k = -6 + 6 + 49k

Combine like terms: -6 + 6 = 0
7k = 0 + 49k
7k = 49k

Solving
7k = 49k

Solving for variable 'k'.

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

Add '-49k' to each side of the equation.
7k + -49k = 49k + -49k

Combine like terms: 7k + -49k = -42k
-42k = 49k + -49k

Combine like terms: 49k + -49k = 0
-42k = 0

Divide each side by '-42'.
k = 0

Simplifying
k = 0