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Simplifying 6v + 9 = -12v Reorder the terms: 9 + 6v = -12v Solving 9 + 6v = -12v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '12v' to each side of the equation. 9 + 6v + 12v = -12v + 12v Combine like terms: 6v + 12v = 18v 9 + 18v = -12v + 12v Combine like terms: -12v + 12v = 0 9 + 18v = 0 Add '-9' to each side of the equation. 9 + -9 + 18v = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 18v = 0 + -9 18v = 0 + -9 Combine like terms: 0 + -9 = -9 18v = -9 Divide each side by '18'. v = -0.5 Simplifying v = -0.5
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