v-3(v-2)=7

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

Simplifying
v + -3(v + -2) = 7

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

Reorder the terms:
6 + v + -3v = 7

Combine like terms: v + -3v = -2v
6 + -2v = 7

Solving
6 + -2v = 7

Solving for variable 'v'.

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

Add '-6' to each side of the equation.
6 + -6 + -2v = 7 + -6

Combine like terms: 6 + -6 = 0
0 + -2v = 7 + -6
-2v = 7 + -6

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

Divide each side by '-2'.
v = -0.5

Simplifying
v = -0.5