6(1-7k)=-8k+40

Solution for 6(1-7k)=-8k+40 equation:

Simplifying
6(1 + -7k) = -8k + 40
(1 * 6 + -7k * 6) = -8k + 40
(6 + -42k) = -8k + 40

Reorder the terms:
6 + -42k = 40 + -8k

Solving
6 + -42k = 40 + -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.
6 + -42k + 8k = 40 + -8k + 8k

Combine like terms: -42k + 8k = -34k
6 + -34k = 40 + -8k + 8k

Combine like terms: -8k + 8k = 0
6 + -34k = 40 + 0
6 + -34k = 40

Add '-6' to each side of the equation.
6 + -6 + -34k = 40 + -6

Combine like terms: 6 + -6 = 0
0 + -34k = 40 + -6
-34k = 40 + -6

Combine like terms: 40 + -6 = 34
-34k = 34

Divide each side by '-34'.
k = -1

Simplifying
k = -1