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

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

Simplifying
3(4v + 1) + -3(2v + 3) = 0

Reorder the terms:
3(1 + 4v) + -3(2v + 3) = 0
(1 * 3 + 4v * 3) + -3(2v + 3) = 0
(3 + 12v) + -3(2v + 3) = 0

Reorder the terms:
3 + 12v + -3(3 + 2v) = 0
3 + 12v + (3 * -3 + 2v * -3) = 0
3 + 12v + (-9 + -6v) = 0

Reorder the terms:
3 + -9 + 12v + -6v = 0

Combine like terms: 3 + -9 = -6
-6 + 12v + -6v = 0

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

Solving
-6 + 6v = 0

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 + 6v = 0 + 6

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

Combine like terms: 0 + 6 = 6
6v = 6

Divide each side by '6'.
v = 1

Simplifying
v = 1