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