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Simplifying -20 + 7v = -9v + 20 + 12v Reorder the terms: -20 + 7v = 20 + -9v + 12v Combine like terms: -9v + 12v = 3v -20 + 7v = 20 + 3v Solving -20 + 7v = 20 + 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. -20 + 7v + -3v = 20 + 3v + -3v Combine like terms: 7v + -3v = 4v -20 + 4v = 20 + 3v + -3v Combine like terms: 3v + -3v = 0 -20 + 4v = 20 + 0 -20 + 4v = 20 Add '20' to each side of the equation. -20 + 20 + 4v = 20 + 20 Combine like terms: -20 + 20 = 0 0 + 4v = 20 + 20 4v = 20 + 20 Combine like terms: 20 + 20 = 40 4v = 40 Divide each side by '4'. v = 10 Simplifying v = 10
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