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Simplifying v + 5 = -9 + -1v Reorder the terms: 5 + v = -9 + -1v Solving 5 + v = -9 + -1v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add 'v' to each side of the equation. 5 + v + v = -9 + -1v + v Combine like terms: v + v = 2v 5 + 2v = -9 + -1v + v Combine like terms: -1v + v = 0 5 + 2v = -9 + 0 5 + 2v = -9 Add '-5' to each side of the equation. 5 + -5 + 2v = -9 + -5 Combine like terms: 5 + -5 = 0 0 + 2v = -9 + -5 2v = -9 + -5 Combine like terms: -9 + -5 = -14 2v = -14 Divide each side by '2'. v = -7 Simplifying v = -7
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