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Simplifying 4v + 8 + -1v = 2v + -2 + 9 Reorder the terms: 8 + 4v + -1v = 2v + -2 + 9 Combine like terms: 4v + -1v = 3v 8 + 3v = 2v + -2 + 9 Reorder the terms: 8 + 3v = -2 + 9 + 2v Combine like terms: -2 + 9 = 7 8 + 3v = 7 + 2v Solving 8 + 3v = 7 + 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. 8 + 3v + -2v = 7 + 2v + -2v Combine like terms: 3v + -2v = 1v 8 + 1v = 7 + 2v + -2v Combine like terms: 2v + -2v = 0 8 + 1v = 7 + 0 8 + 1v = 7 Add '-8' to each side of the equation. 8 + -8 + 1v = 7 + -8 Combine like terms: 8 + -8 = 0 0 + 1v = 7 + -8 1v = 7 + -8 Combine like terms: 7 + -8 = -1 1v = -1 Divide each side by '1'. v = -1 Simplifying v = -1
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