-6(1-7v)=37-v

Solution for -6(1-7v)=37-v equation:

Simplifying
-6(1 + -7v) = 37 + -1v
(1 * -6 + -7v * -6) = 37 + -1v
(-6 + 42v) = 37 + -1v

Solving
-6 + 42v = 37 + -1v

Solving for variable 'v'.

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

Add 'v' to each side of the equation.
-6 + 42v + v = 37 + -1v + v

Combine like terms: 42v + v = 43v
-6 + 43v = 37 + -1v + v

Combine like terms: -1v + v = 0
-6 + 43v = 37 + 0
-6 + 43v = 37

Add '6' to each side of the equation.
-6 + 6 + 43v = 37 + 6

Combine like terms: -6 + 6 = 0
0 + 43v = 37 + 6
43v = 37 + 6

Combine like terms: 37 + 6 = 43
43v = 43

Divide each side by '43'.
v = 1

Simplifying
v = 1