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Simplifying 12 + 5v = 3v + -9 Reorder the terms: 12 + 5v = -9 + 3v Solving 12 + 5v = -9 + 3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-3v' to each side of the equation. 12 + 5v + -3v = -9 + 3v + -3v Combine like terms: 5v + -3v = 2v 12 + 2v = -9 + 3v + -3v Combine like terms: 3v + -3v = 0 12 + 2v = -9 + 0 12 + 2v = -9 Add '-12' to each side of the equation. 12 + -12 + 2v = -9 + -12 Combine like terms: 12 + -12 = 0 0 + 2v = -9 + -12 2v = -9 + -12 Combine like terms: -9 + -12 = -21 2v = -21 Divide each side by '2'. v = -10.5 Simplifying v = -10.5
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