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Simplifying 3v + -9 = 7 + 2v + -1v Reorder the terms: -9 + 3v = 7 + 2v + -1v Combine like terms: 2v + -1v = 1v -9 + 3v = 7 + 1v Solving -9 + 3v = 7 + 1v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-1v' to each side of the equation. -9 + 3v + -1v = 7 + 1v + -1v Combine like terms: 3v + -1v = 2v -9 + 2v = 7 + 1v + -1v Combine like terms: 1v + -1v = 0 -9 + 2v = 7 + 0 -9 + 2v = 7 Add '9' to each side of the equation. -9 + 9 + 2v = 7 + 9 Combine like terms: -9 + 9 = 0 0 + 2v = 7 + 9 2v = 7 + 9 Combine like terms: 7 + 9 = 16 2v = 16 Divide each side by '2'. v = 8 Simplifying v = 8
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