.3(12-v)=.1616(v-6)

Solution for .3(12-v)=.1616(v-6) equation:

Simplifying
0.3(12 + -1v) = 0.1616(v + -6)
(12 * 0.3 + -1v * 0.3) = 0.1616(v + -6)
(3.6 + -0.3v) = 0.1616(v + -6)

Reorder the terms:
3.6 + -0.3v = 0.1616(-6 + v)
3.6 + -0.3v = (-6 * 0.1616 + v * 0.1616)
3.6 + -0.3v = (-0.9696 + 0.1616v)

Solving
3.6 + -0.3v = -0.9696 + 0.1616v

Solving for variable 'v'.

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

Add '-0.1616v' to each side of the equation.
3.6 + -0.3v + -0.1616v = -0.9696 + 0.1616v + -0.1616v

Combine like terms: -0.3v + -0.1616v = -0.4616v
3.6 + -0.4616v = -0.9696 + 0.1616v + -0.1616v

Combine like terms: 0.1616v + -0.1616v = 0.0000
3.6 + -0.4616v = -0.9696 + 0.0000
3.6 + -0.4616v = -0.9696

Add '-3.6' to each side of the equation.
3.6 + -3.6 + -0.4616v = -0.9696 + -3.6

Combine like terms: 3.6 + -3.6 = 0.0
0.0 + -0.4616v = -0.9696 + -3.6
-0.4616v = -0.9696 + -3.6

Combine like terms: -0.9696 + -3.6 = -4.5696
-0.4616v = -4.5696

Divide each side by '-0.4616'.
v = 9.899480069

Simplifying
v = 9.899480069