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