6+2(4v-2)=-2(8v-9)+6v

Solution for 6+2(4v-2)=-2(8v-9)+6v equation:

Simplifying
6 + 2(4v + -2) = -2(8v + -9) + 6v

Reorder the terms:
6 + 2(-2 + 4v) = -2(8v + -9) + 6v
6 + (-2 * 2 + 4v * 2) = -2(8v + -9) + 6v
6 + (-4 + 8v) = -2(8v + -9) + 6v

Combine like terms: 6 + -4 = 2
2 + 8v = -2(8v + -9) + 6v

Reorder the terms:
2 + 8v = -2(-9 + 8v) + 6v
2 + 8v = (-9 * -2 + 8v * -2) + 6v
2 + 8v = (18 + -16v) + 6v

Combine like terms: -16v + 6v = -10v
2 + 8v = 18 + -10v

Solving
2 + 8v = 18 + -10v

Solving for variable 'v'.

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

Add '10v' to each side of the equation.
2 + 8v + 10v = 18 + -10v + 10v

Combine like terms: 8v + 10v = 18v
2 + 18v = 18 + -10v + 10v

Combine like terms: -10v + 10v = 0
2 + 18v = 18 + 0
2 + 18v = 18

Add '-2' to each side of the equation.
2 + -2 + 18v = 18 + -2

Combine like terms: 2 + -2 = 0
0 + 18v = 18 + -2
18v = 18 + -2

Combine like terms: 18 + -2 = 16
18v = 16

Divide each side by '18'.
v = 0.8888888889

Simplifying
v = 0.8888888889