6v-7v=-(1-4v)-4(-1+2v)

Solution for 6v-7v=-(1-4v)-4(-1+2v) equation:

Simplifying
6v + -7v = -1(1 + -4v) + -4(-1 + 2v)

Combine like terms: 6v + -7v = -1v
-1v = -1(1 + -4v) + -4(-1 + 2v)
-1v = (1 * -1 + -4v * -1) + -4(-1 + 2v)
-1v = (-1 + 4v) + -4(-1 + 2v)
-1v = -1 + 4v + (-1 * -4 + 2v * -4)
-1v = -1 + 4v + (4 + -8v)

Reorder the terms:
-1v = -1 + 4 + 4v + -8v

Combine like terms: -1 + 4 = 3
-1v = 3 + 4v + -8v

Combine like terms: 4v + -8v = -4v
-1v = 3 + -4v

Solving
-1v = 3 + -4v

Solving for variable 'v'.

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

Add '4v' to each side of the equation.
-1v + 4v = 3 + -4v + 4v

Combine like terms: -1v + 4v = 3v
3v = 3 + -4v + 4v

Combine like terms: -4v + 4v = 0
3v = 3 + 0
3v = 3

Divide each side by '3'.
v = 1

Simplifying
v = 1