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Simplifying -9 = 2v + 9 + -5v + 6 Reorder the terms: -9 = 9 + 6 + 2v + -5v Combine like terms: 9 + 6 = 15 -9 = 15 + 2v + -5v Combine like terms: 2v + -5v = -3v -9 = 15 + -3v Solving -9 = 15 + -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 = 15 + -3v + 3v Combine like terms: -3v + 3v = 0 -9 + 3v = 15 + 0 -9 + 3v = 15 Add '9' to each side of the equation. -9 + 9 + 3v = 15 + 9 Combine like terms: -9 + 9 = 0 0 + 3v = 15 + 9 3v = 15 + 9 Combine like terms: 15 + 9 = 24 3v = 24 Divide each side by '3'. v = 8 Simplifying v = 8
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