3(4v+1)=-3(2v-3)+4v+28

Solution for 3(4v+1)=-3(2v-3)+4v+28 equation:

Simplifying
3(4v + 1) = -3(2v + -3) + 4v + 28

Reorder the terms:
3(1 + 4v) = -3(2v + -3) + 4v + 28
(1 * 3 + 4v * 3) = -3(2v + -3) + 4v + 28
(3 + 12v) = -3(2v + -3) + 4v + 28

Reorder the terms:
3 + 12v = -3(-3 + 2v) + 4v + 28
3 + 12v = (-3 * -3 + 2v * -3) + 4v + 28
3 + 12v = (9 + -6v) + 4v + 28

Reorder the terms:
3 + 12v = 9 + 28 + -6v + 4v

Combine like terms: 9 + 28 = 37
3 + 12v = 37 + -6v + 4v

Combine like terms: -6v + 4v = -2v
3 + 12v = 37 + -2v

Solving
3 + 12v = 37 + -2v

Solving for variable 'v'.

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

Add '2v' to each side of the equation.
3 + 12v + 2v = 37 + -2v + 2v

Combine like terms: 12v + 2v = 14v
3 + 14v = 37 + -2v + 2v

Combine like terms: -2v + 2v = 0
3 + 14v = 37 + 0
3 + 14v = 37

Add '-3' to each side of the equation.
3 + -3 + 14v = 37 + -3

Combine like terms: 3 + -3 = 0
0 + 14v = 37 + -3
14v = 37 + -3

Combine like terms: 37 + -3 = 34
14v = 34

Divide each side by '14'.
v = 2.428571429

Simplifying
v = 2.428571429