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Simplifying 0.50(6 + -1v) = v (6 * 0.50 + -1v * 0.50) = v (3 + -0.5v) = v Solving 3 + -0.5v = v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-1v' to each side of the equation. 3 + -0.5v + -1v = v + -1v Combine like terms: -0.5v + -1v = -1.5v 3 + -1.5v = v + -1v Combine like terms: v + -1v = 0 3 + -1.5v = 0 Add '-3' to each side of the equation. 3 + -3 + -1.5v = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1.5v = 0 + -3 -1.5v = 0 + -3 Combine like terms: 0 + -3 = -3 -1.5v = -3 Divide each side by '-1.5'. v = 2 Simplifying v = 2
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