7v-(6-2v)=3-(v+1)

Solution for 7v-(6-2v)=3-(v+1) equation:

Simplifying
7v + -1(6 + -2v) = 3 + -1(v + 1)
7v + (6 * -1 + -2v * -1) = 3 + -1(v + 1)
7v + (-6 + 2v) = 3 + -1(v + 1)

Reorder the terms:
-6 + 7v + 2v = 3 + -1(v + 1)

Combine like terms: 7v + 2v = 9v
-6 + 9v = 3 + -1(v + 1)

Reorder the terms:
-6 + 9v = 3 + -1(1 + v)
-6 + 9v = 3 + (1 * -1 + v * -1)
-6 + 9v = 3 + (-1 + -1v)

Combine like terms: 3 + -1 = 2
-6 + 9v = 2 + -1v

Solving
-6 + 9v = 2 + -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 + 9v + v = 2 + -1v + v

Combine like terms: 9v + v = 10v
-6 + 10v = 2 + -1v + v

Combine like terms: -1v + v = 0
-6 + 10v = 2 + 0
-6 + 10v = 2

Add '6' to each side of the equation.
-6 + 6 + 10v = 2 + 6

Combine like terms: -6 + 6 = 0
0 + 10v = 2 + 6
10v = 2 + 6

Combine like terms: 2 + 6 = 8
10v = 8

Divide each side by '10'.
v = 0.8

Simplifying
v = 0.8