7v-2(4v-3)=-2

Solution for 7v-2(4v-3)=-2 equation:

Simplifying
7v + -2(4v + -3) = -2

Reorder the terms:
7v + -2(-3 + 4v) = -2
7v + (-3 * -2 + 4v * -2) = -2
7v + (6 + -8v) = -2

Reorder the terms:
6 + 7v + -8v = -2

Combine like terms: 7v + -8v = -1v
6 + -1v = -2

Solving
6 + -1v = -2

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 + -1v = -2 + -6

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

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

Divide each side by '-1'.
v = 8

Simplifying
v = 8