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