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Simplifying -7 + -1v = 6v + 2 + 2v Reorder the terms: -7 + -1v = 2 + 6v + 2v Combine like terms: 6v + 2v = 8v -7 + -1v = 2 + 8v Solving -7 + -1v = 2 + 8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-8v' to each side of the equation. -7 + -1v + -8v = 2 + 8v + -8v Combine like terms: -1v + -8v = -9v -7 + -9v = 2 + 8v + -8v Combine like terms: 8v + -8v = 0 -7 + -9v = 2 + 0 -7 + -9v = 2 Add '7' to each side of the equation. -7 + 7 + -9v = 2 + 7 Combine like terms: -7 + 7 = 0 0 + -9v = 2 + 7 -9v = 2 + 7 Combine like terms: 2 + 7 = 9 -9v = 9 Divide each side by '-9'. v = -1 Simplifying v = -1
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