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Simplifying -2 + -6v = 5 + -2v + 1 Reorder the terms: -2 + -6v = 5 + 1 + -2v Combine like terms: 5 + 1 = 6 -2 + -6v = 6 + -2v Solving -2 + -6v = 6 + -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. -2 + -6v + 2v = 6 + -2v + 2v Combine like terms: -6v + 2v = -4v -2 + -4v = 6 + -2v + 2v Combine like terms: -2v + 2v = 0 -2 + -4v = 6 + 0 -2 + -4v = 6 Add '2' to each side of the equation. -2 + 2 + -4v = 6 + 2 Combine like terms: -2 + 2 = 0 0 + -4v = 6 + 2 -4v = 6 + 2 Combine like terms: 6 + 2 = 8 -4v = 8 Divide each side by '-4'. v = -2 Simplifying v = -2
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