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Simplifying 3v + -9 = 7 + -2v + -1v Reorder the terms: -9 + 3v = 7 + -2v + -1v Combine like terms: -2v + -1v = -3v -9 + 3v = 7 + -3v Solving -9 + 3v = 7 + -3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '3v' to each side of the equation. -9 + 3v + 3v = 7 + -3v + 3v Combine like terms: 3v + 3v = 6v -9 + 6v = 7 + -3v + 3v Combine like terms: -3v + 3v = 0 -9 + 6v = 7 + 0 -9 + 6v = 7 Add '9' to each side of the equation. -9 + 9 + 6v = 7 + 9 Combine like terms: -9 + 9 = 0 0 + 6v = 7 + 9 6v = 7 + 9 Combine like terms: 7 + 9 = 16 6v = 16 Divide each side by '6'. v = 2.666666667 Simplifying v = 2.666666667
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