-2(2v-3)+7v=9+3(5v-2)

Solution for -2(2v-3)+7v=9+3(5v-2) equation:

Simplifying
-2(2v + -3) + 7v = 9 + 3(5v + -2)

Reorder the terms:
-2(-3 + 2v) + 7v = 9 + 3(5v + -2)
(-3 * -2 + 2v * -2) + 7v = 9 + 3(5v + -2)
(6 + -4v) + 7v = 9 + 3(5v + -2)

Combine like terms: -4v + 7v = 3v
6 + 3v = 9 + 3(5v + -2)

Reorder the terms:
6 + 3v = 9 + 3(-2 + 5v)
6 + 3v = 9 + (-2 * 3 + 5v * 3)
6 + 3v = 9 + (-6 + 15v)

Combine like terms: 9 + -6 = 3
6 + 3v = 3 + 15v

Solving
6 + 3v = 3 + 15v

Solving for variable 'v'.

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

Add '-15v' to each side of the equation.
6 + 3v + -15v = 3 + 15v + -15v

Combine like terms: 3v + -15v = -12v
6 + -12v = 3 + 15v + -15v

Combine like terms: 15v + -15v = 0
6 + -12v = 3 + 0
6 + -12v = 3

Add '-6' to each side of the equation.
6 + -6 + -12v = 3 + -6

Combine like terms: 6 + -6 = 0
0 + -12v = 3 + -6
-12v = 3 + -6

Combine like terms: 3 + -6 = -3
-12v = -3

Divide each side by '-12'.
v = 0.25

Simplifying
v = 0.25