9-0.2(v-8)=.3(6v-8)

Solution for 9-0.2(v-8)=.3(6v-8) equation:

Simplifying
9 + -0.2(v + -8) = 0.3(6v + -8)

Reorder the terms:
9 + -0.2(-8 + v) = 0.3(6v + -8)
9 + (-8 * -0.2 + v * -0.2) = 0.3(6v + -8)
9 + (1.6 + -0.2v) = 0.3(6v + -8)

Combine like terms: 9 + 1.6 = 10.6
10.6 + -0.2v = 0.3(6v + -8)

Reorder the terms:
10.6 + -0.2v = 0.3(-8 + 6v)
10.6 + -0.2v = (-8 * 0.3 + 6v * 0.3)
10.6 + -0.2v = (-2.4 + 1.8v)

Solving
10.6 + -0.2v = -2.4 + 1.8v

Solving for variable 'v'.

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

Add '-1.8v' to each side of the equation.
10.6 + -0.2v + -1.8v = -2.4 + 1.8v + -1.8v

Combine like terms: -0.2v + -1.8v = -2v
10.6 + -2v = -2.4 + 1.8v + -1.8v

Combine like terms: 1.8v + -1.8v = 0.0
10.6 + -2v = -2.4 + 0.0
10.6 + -2v = -2.4

Add '-10.6' to each side of the equation.
10.6 + -10.6 + -2v = -2.4 + -10.6

Combine like terms: 10.6 + -10.6 = 0.0
0.0 + -2v = -2.4 + -10.6
-2v = -2.4 + -10.6

Combine like terms: -2.4 + -10.6 = -13
-2v = -13

Divide each side by '-2'.
v = 6.5

Simplifying
v = 6.5