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Simplifying 3v + -9 = 7 + 2 + -1v Reorder the terms: -9 + 3v = 7 + 2 + -1v Combine like terms: 7 + 2 = 9 -9 + 3v = 9 + -1v Solving -9 + 3v = 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. -9 + 3v + v = 9 + -1v + v Combine like terms: 3v + v = 4v -9 + 4v = 9 + -1v + v Combine like terms: -1v + v = 0 -9 + 4v = 9 + 0 -9 + 4v = 9 Add '9' to each side of the equation. -9 + 9 + 4v = 9 + 9 Combine like terms: -9 + 9 = 0 0 + 4v = 9 + 9 4v = 9 + 9 Combine like terms: 9 + 9 = 18 4v = 18 Divide each side by '4'. v = 4.5 Simplifying v = 4.5
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