.3(12-v)=.16(v-6)

Solution for .3(12-v)=.16(v-6) equation:

Simplifying
0.3(12 + -1v) = 0.16(v + -6)
(12 * 0.3 + -1v * 0.3) = 0.16(v + -6)
(3.6 + -0.3v) = 0.16(v + -6)

Reorder the terms:
3.6 + -0.3v = 0.16(-6 + v)
3.6 + -0.3v = (-6 * 0.16 + v * 0.16)
3.6 + -0.3v = (-0.96 + 0.16v)

Solving
3.6 + -0.3v = -0.96 + 0.16v

Solving for variable 'v'.

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

Add '-0.16v' to each side of the equation.
3.6 + -0.3v + -0.16v = -0.96 + 0.16v + -0.16v

Combine like terms: -0.3v + -0.16v = -0.46v
3.6 + -0.46v = -0.96 + 0.16v + -0.16v

Combine like terms: 0.16v + -0.16v = 0.00
3.6 + -0.46v = -0.96 + 0.00
3.6 + -0.46v = -0.96

Add '-3.6' to each side of the equation.
3.6 + -3.6 + -0.46v = -0.96 + -3.6

Combine like terms: 3.6 + -3.6 = 0.0
0.0 + -0.46v = -0.96 + -3.6
-0.46v = -0.96 + -3.6

Combine like terms: -0.96 + -3.6 = -4.56
-0.46v = -4.56

Divide each side by '-0.46'.
v = 9.913043478

Simplifying
v = 9.913043478