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Simplifying v + -2 + 8v = 12 + 7v Reorder the terms: -2 + v + 8v = 12 + 7v Combine like terms: v + 8v = 9v -2 + 9v = 12 + 7v Solving -2 + 9v = 12 + 7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-7v' to each side of the equation. -2 + 9v + -7v = 12 + 7v + -7v Combine like terms: 9v + -7v = 2v -2 + 2v = 12 + 7v + -7v Combine like terms: 7v + -7v = 0 -2 + 2v = 12 + 0 -2 + 2v = 12 Add '2' to each side of the equation. -2 + 2 + 2v = 12 + 2 Combine like terms: -2 + 2 = 0 0 + 2v = 12 + 2 2v = 12 + 2 Combine like terms: 12 + 2 = 14 2v = 14 Divide each side by '2'. v = 7 Simplifying v = 7
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