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

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

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

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

Reorder the terms:
1v = -1(-2 + v) + 4(v + -2)
1v = (-2 * -1 + v * -1) + 4(v + -2)
1v = (2 + -1v) + 4(v + -2)

Reorder the terms:
1v = 2 + -1v + 4(-2 + v)
1v = 2 + -1v + (-2 * 4 + v * 4)
1v = 2 + -1v + (-8 + 4v)

Reorder the terms:
1v = 2 + -8 + -1v + 4v

Combine like terms: 2 + -8 = -6
1v = -6 + -1v + 4v

Combine like terms: -1v + 4v = 3v
1v = -6 + 3v

Solving
1v = -6 + 3v

Solving for variable 'v'.

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

Add '-3v' to each side of the equation.
1v + -3v = -6 + 3v + -3v

Combine like terms: 1v + -3v = -2v
-2v = -6 + 3v + -3v

Combine like terms: 3v + -3v = 0
-2v = -6 + 0
-2v = -6

Divide each side by '-2'.
v = 3

Simplifying
v = 3