3(3v+2)=0.75(4-24v)

Solution for 3(3v+2)=0.75(4-24v) equation:

Simplifying
3(3v + 2) = 0.75(4 + -24v)

Reorder the terms:
3(2 + 3v) = 0.75(4 + -24v)
(2 * 3 + 3v * 3) = 0.75(4 + -24v)
(6 + 9v) = 0.75(4 + -24v)
6 + 9v = (4 * 0.75 + -24v * 0.75)
6 + 9v = (3 + -18v)

Solving
6 + 9v = 3 + -18v

Solving for variable 'v'.

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

Add '18v' to each side of the equation.
6 + 9v + 18v = 3 + -18v + 18v

Combine like terms: 9v + 18v = 27v
6 + 27v = 3 + -18v + 18v

Combine like terms: -18v + 18v = 0
6 + 27v = 3 + 0
6 + 27v = 3

Add '-6' to each side of the equation.
6 + -6 + 27v = 3 + -6

Combine like terms: 6 + -6 = 0
0 + 27v = 3 + -6
27v = 3 + -6

Combine like terms: 3 + -6 = -3
27v = -3

Divide each side by '27'.
v = -0.1111111111

Simplifying
v = -0.1111111111