6(v+1)=-3(5v-1)+3v

Solution for 6(v+1)=-3(5v-1)+3v equation:

Simplifying
6(v + 1) = -3(5v + -1) + 3v

Reorder the terms:
6(1 + v) = -3(5v + -1) + 3v
(1 * 6 + v * 6) = -3(5v + -1) + 3v
(6 + 6v) = -3(5v + -1) + 3v

Reorder the terms:
6 + 6v = -3(-1 + 5v) + 3v
6 + 6v = (-1 * -3 + 5v * -3) + 3v
6 + 6v = (3 + -15v) + 3v

Combine like terms: -15v + 3v = -12v
6 + 6v = 3 + -12v

Solving
6 + 6v = 3 + -12v

Solving for variable 'v'.

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

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

Combine like terms: 6v + 12v = 18v
6 + 18v = 3 + -12v + 12v

Combine like terms: -12v + 12v = 0
6 + 18v = 3 + 0
6 + 18v = 3

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

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

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

Divide each side by '18'.
v = -0.1666666667

Simplifying
v = -0.1666666667