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Simplifying 6v + 7 + 5v = 9v + -5 Reorder the terms: 7 + 6v + 5v = 9v + -5 Combine like terms: 6v + 5v = 11v 7 + 11v = 9v + -5 Reorder the terms: 7 + 11v = -5 + 9v Solving 7 + 11v = -5 + 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. 7 + 11v + -9v = -5 + 9v + -9v Combine like terms: 11v + -9v = 2v 7 + 2v = -5 + 9v + -9v Combine like terms: 9v + -9v = 0 7 + 2v = -5 + 0 7 + 2v = -5 Add '-7' to each side of the equation. 7 + -7 + 2v = -5 + -7 Combine like terms: 7 + -7 = 0 0 + 2v = -5 + -7 2v = -5 + -7 Combine like terms: -5 + -7 = -12 2v = -12 Divide each side by '2'. v = -6 Simplifying v = -6
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