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Simplifying -0.5(12v + -20) + 4 = -12 + -8v Reorder the terms: -0.5(-20 + 12v) + 4 = -12 + -8v (-20 * -0.5 + 12v * -0.5) + 4 = -12 + -8v (10 + -6v) + 4 = -12 + -8v Reorder the terms: 10 + 4 + -6v = -12 + -8v Combine like terms: 10 + 4 = 14 14 + -6v = -12 + -8v Solving 14 + -6v = -12 + -8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '8v' to each side of the equation. 14 + -6v + 8v = -12 + -8v + 8v Combine like terms: -6v + 8v = 2v 14 + 2v = -12 + -8v + 8v Combine like terms: -8v + 8v = 0 14 + 2v = -12 + 0 14 + 2v = -12 Add '-14' to each side of the equation. 14 + -14 + 2v = -12 + -14 Combine like terms: 14 + -14 = 0 0 + 2v = -12 + -14 2v = -12 + -14 Combine like terms: -12 + -14 = -26 2v = -26 Divide each side by '2'. v = -13 Simplifying v = -13
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