6(1-4v)=3(4-7v)

Solution for 6(1-4v)=3(4-7v) equation:

Simplifying
6(1 + -4v) = 3(4 + -7v)
(1 * 6 + -4v * 6) = 3(4 + -7v)
(6 + -24v) = 3(4 + -7v)
6 + -24v = (4 * 3 + -7v * 3)
6 + -24v = (12 + -21v)

Solving
6 + -24v = 12 + -21v

Solving for variable 'v'.

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

Add '21v' to each side of the equation.
6 + -24v + 21v = 12 + -21v + 21v

Combine like terms: -24v + 21v = -3v
6 + -3v = 12 + -21v + 21v

Combine like terms: -21v + 21v = 0
6 + -3v = 12 + 0
6 + -3v = 12

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

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

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

Divide each side by '-3'.
v = -2

Simplifying
v = -2