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Simplifying -2 + v + -6 + -2v = v + -6 + 8 Reorder the terms: -2 + -6 + v + -2v = v + -6 + 8 Combine like terms: -2 + -6 = -8 -8 + v + -2v = v + -6 + 8 Combine like terms: v + -2v = -1v -8 + -1v = v + -6 + 8 Reorder the terms: -8 + -1v = -6 + 8 + v Combine like terms: -6 + 8 = 2 -8 + -1v = 2 + v Solving -8 + -1v = 2 + v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-1v' to each side of the equation. -8 + -1v + -1v = 2 + v + -1v Combine like terms: -1v + -1v = -2v -8 + -2v = 2 + v + -1v Combine like terms: v + -1v = 0 -8 + -2v = 2 + 0 -8 + -2v = 2 Add '8' to each side of the equation. -8 + 8 + -2v = 2 + 8 Combine like terms: -8 + 8 = 0 0 + -2v = 2 + 8 -2v = 2 + 8 Combine like terms: 2 + 8 = 10 -2v = 10 Divide each side by '-2'. v = -5 Simplifying v = -5
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