-6(1-7k)=2(k+1)-8

Solution for -6(1-7k)=2(k+1)-8 equation:

Simplifying
-6(1 + -7k) = 2(k + 1) + -8
(1 * -6 + -7k * -6) = 2(k + 1) + -8
(-6 + 42k) = 2(k + 1) + -8

Reorder the terms:
-6 + 42k = 2(1 + k) + -8
-6 + 42k = (1 * 2 + k * 2) + -8
-6 + 42k = (2 + 2k) + -8

Reorder the terms:
-6 + 42k = 2 + -8 + 2k

Combine like terms: 2 + -8 = -6
-6 + 42k = -6 + 2k

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

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

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

Solving
42k = 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.
42k + -2k = 2k + -2k

Combine like terms: 42k + -2k = 40k
40k = 2k + -2k

Combine like terms: 2k + -2k = 0
40k = 0

Divide each side by '40'.
k = 0.0

Simplifying
k = 0.0