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Simplifying -9 + 5v + -1v = 2v + -1 Combine like terms: 5v + -1v = 4v -9 + 4v = 2v + -1 Reorder the terms: -9 + 4v = -1 + 2v Solving -9 + 4v = -1 + 2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-2v' to each side of the equation. -9 + 4v + -2v = -1 + 2v + -2v Combine like terms: 4v + -2v = 2v -9 + 2v = -1 + 2v + -2v Combine like terms: 2v + -2v = 0 -9 + 2v = -1 + 0 -9 + 2v = -1 Add '9' to each side of the equation. -9 + 9 + 2v = -1 + 9 Combine like terms: -9 + 9 = 0 0 + 2v = -1 + 9 2v = -1 + 9 Combine like terms: -1 + 9 = 8 2v = 8 Divide each side by '2'. v = 4 Simplifying v = 4
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