-106=-2k+2(3-7k)

Solution for -106=-2k+2(3-7k) equation:

Simplifying
-106 = -2k + 2(3 + -7k)
-106 = -2k + (3 * 2 + -7k * 2)
-106 = -2k + (6 + -14k)

Reorder the terms:
-106 = 6 + -2k + -14k

Combine like terms: -2k + -14k = -16k
-106 = 6 + -16k

Solving
-106 = 6 + -16k

Solving for variable 'k'.

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

Add '16k' to each side of the equation.
-106 + 16k = 6 + -16k + 16k

Combine like terms: -16k + 16k = 0
-106 + 16k = 6 + 0
-106 + 16k = 6

Add '106' to each side of the equation.
-106 + 106 + 16k = 6 + 106

Combine like terms: -106 + 106 = 0
0 + 16k = 6 + 106
16k = 6 + 106

Combine like terms: 6 + 106 = 112
16k = 112

Divide each side by '16'.
k = 7

Simplifying
k = 7