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Simplifying 6 + 9v + -2 = 7v + (-2v) Reorder the terms: 6 + -2 + 9v = 7v + (-2v) Combine like terms: 6 + -2 = 4 4 + 9v = 7v + (-2v) Combine like terms: 7v + (-2v) = 5v 4 + 9v = 5v Solving 4 + 9v = 5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-5v' to each side of the equation. 4 + 9v + -5v = 5v + -5v Combine like terms: 9v + -5v = 4v 4 + 4v = 5v + -5v Combine like terms: 5v + -5v = 0 4 + 4v = 0 Add '-4' to each side of the equation. 4 + -4 + 4v = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 4v = 0 + -4 4v = 0 + -4 Combine like terms: 0 + -4 = -4 4v = -4 Divide each side by '4'. v = -1 Simplifying v = -1
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