12000=(.8)v-(.08)v(6)

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Solution for 12000=(.8)v-(.08)v(6) equation:


Simplifying
12000 = (0.8) * v + -1(0.08) * v(6)

Reorder the terms for easier multiplication:
12000 = 0.8v + -1 * 0.08 * 6v

Multiply -1 * 0.08
12000 = 0.8v + -0.08 * 6v

Multiply -0.08 * 6
12000 = 0.8v + -0.48v

Combine like terms: 0.8v + -0.48v = 0.32v
12000 = 0.32v

Solving
12000 = 0.32v

Solving for variable 'v'.

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

Add '-0.32v' to each side of the equation.
12000 + -0.32v = 0.32v + -0.32v

Combine like terms: 0.32v + -0.32v = 0.00
12000 + -0.32v = 0.00

Add '-12000' to each side of the equation.
12000 + -12000 + -0.32v = 0.00 + -12000

Combine like terms: 12000 + -12000 = 0
0 + -0.32v = 0.00 + -12000
-0.32v = 0.00 + -12000

Combine like terms: 0.00 + -12000 = -12000
-0.32v = -12000

Divide each side by '-0.32'.
v = 37500

Simplifying
v = 37500

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