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Simplifying 12 + -2v = 9v + 45 Reorder the terms: 12 + -2v = 45 + 9v Solving 12 + -2v = 45 + 9v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-9v' to each side of the equation. 12 + -2v + -9v = 45 + 9v + -9v Combine like terms: -2v + -9v = -11v 12 + -11v = 45 + 9v + -9v Combine like terms: 9v + -9v = 0 12 + -11v = 45 + 0 12 + -11v = 45 Add '-12' to each side of the equation. 12 + -12 + -11v = 45 + -12 Combine like terms: 12 + -12 = 0 0 + -11v = 45 + -12 -11v = 45 + -12 Combine like terms: 45 + -12 = 33 -11v = 33 Divide each side by '-11'. v = -3 Simplifying v = -3
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