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

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

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

Reorder the terms:
6(-1 + 7k) = -6 + 8k
(-1 * 6 + 7k * 6) = -6 + 8k
(-6 + 42k) = -6 + 8k

Add '6' to each side of the equation.
-6 + 6 + 42k = -6 + 6 + 8k

Combine like terms: -6 + 6 = 0
0 + 42k = -6 + 6 + 8k
42k = -6 + 6 + 8k

Combine like terms: -6 + 6 = 0
42k = 0 + 8k
42k = 8k

Solving
42k = 8k

Solving for variable 'k'.

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

Add '-8k' to each side of the equation.
42k + -8k = 8k + -8k

Combine like terms: 42k + -8k = 34k
34k = 8k + -8k

Combine like terms: 8k + -8k = 0
34k = 0

Divide each side by '34'.
k = 0

Simplifying
k = 0