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Simplifying 0.08v + 0.12(260 + -1v) = 0.48v 0.08v + (260 * 0.12 + -1v * 0.12) = 0.48v 0.08v + (31.2 + -0.12v) = 0.48v Reorder the terms: 31.2 + 0.08v + -0.12v = 0.48v Combine like terms: 0.08v + -0.12v = -0.04v 31.2 + -0.04v = 0.48v Solving 31.2 + -0.04v = 0.48v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-0.48v' to each side of the equation. 31.2 + -0.04v + -0.48v = 0.48v + -0.48v Combine like terms: -0.04v + -0.48v = -0.52v 31.2 + -0.52v = 0.48v + -0.48v Combine like terms: 0.48v + -0.48v = 0.00 31.2 + -0.52v = 0.00 Add '-31.2' to each side of the equation. 31.2 + -31.2 + -0.52v = 0.00 + -31.2 Combine like terms: 31.2 + -31.2 = 0.0 0.0 + -0.52v = 0.00 + -31.2 -0.52v = 0.00 + -31.2 Combine like terms: 0.00 + -31.2 = -31.2 -0.52v = -31.2 Divide each side by '-0.52'. v = 60 Simplifying v = 60
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