-106=-4(1-5v)-2

Solution for -106=-4(1-5v)-2 equation:

Simplifying
-106 = -4(1 + -5v) + -2
-106 = (1 * -4 + -5v * -4) + -2
-106 = (-4 + 20v) + -2

Reorder the terms:
-106 = -4 + -2 + 20v

Combine like terms: -4 + -2 = -6
-106 = -6 + 20v

Solving
-106 = -6 + 20v

Solving for variable 'v'.

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

Add '-20v' to each side of the equation.
-106 + -20v = -6 + 20v + -20v

Combine like terms: 20v + -20v = 0
-106 + -20v = -6 + 0
-106 + -20v = -6

Add '106' to each side of the equation.
-106 + 106 + -20v = -6 + 106

Combine like terms: -106 + 106 = 0
0 + -20v = -6 + 106
-20v = -6 + 106

Combine like terms: -6 + 106 = 100
-20v = 100

Divide each side by '-20'.
v = -5

Simplifying
v = -5