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Simplifying 6 + 9v = 2v + -22 Reorder the terms: 6 + 9v = -22 + 2v Solving 6 + 9v = -22 + 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. 6 + 9v + -2v = -22 + 2v + -2v Combine like terms: 9v + -2v = 7v 6 + 7v = -22 + 2v + -2v Combine like terms: 2v + -2v = 0 6 + 7v = -22 + 0 6 + 7v = -22 Add '-6' to each side of the equation. 6 + -6 + 7v = -22 + -6 Combine like terms: 6 + -6 = 0 0 + 7v = -22 + -6 7v = -22 + -6 Combine like terms: -22 + -6 = -28 7v = -28 Divide each side by '7'. v = -4 Simplifying v = -4
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