106=-8k+6(1-7k)

Solution for 106=-8k+6(1-7k) equation:

Simplifying
106 = -8k + 6(1 + -7k)
106 = -8k + (1 * 6 + -7k * 6)
106 = -8k + (6 + -42k)

Reorder the terms:
106 = 6 + -8k + -42k

Combine like terms: -8k + -42k = -50k
106 = 6 + -50k

Solving
106 = 6 + -50k

Solving for variable 'k'.

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

Add '50k' to each side of the equation.
106 + 50k = 6 + -50k + 50k

Combine like terms: -50k + 50k = 0
106 + 50k = 6 + 0
106 + 50k = 6

Add '-106' to each side of the equation.
106 + -106 + 50k = 6 + -106

Combine like terms: 106 + -106 = 0
0 + 50k = 6 + -106
50k = 6 + -106

Combine like terms: 6 + -106 = -100
50k = -100

Divide each side by '50'.
k = -2

Simplifying
k = -2