7-4(1-3v)=3(1-3v)

Solution for 7-4(1-3v)=3(1-3v) equation:

Simplifying
7 + -4(1 + -3v) = 3(1 + -3v)
7 + (1 * -4 + -3v * -4) = 3(1 + -3v)
7 + (-4 + 12v) = 3(1 + -3v)

Combine like terms: 7 + -4 = 3
3 + 12v = 3(1 + -3v)
3 + 12v = (1 * 3 + -3v * 3)
3 + 12v = (3 + -9v)

Add '-3' to each side of the equation.
3 + -3 + 12v = 3 + -3 + -9v

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

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

Solving
12v = -9v

Solving for variable 'v'.

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

Add '9v' to each side of the equation.
12v + 9v = -9v + 9v

Combine like terms: 12v + 9v = 21v
21v = -9v + 9v

Combine like terms: -9v + 9v = 0
21v = 0

Divide each side by '21'.
v = 0

Simplifying
v = 0