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Simplifying -1 + 6v + -1 = v + 3v + -14 Reorder the terms: -1 + -1 + 6v = v + 3v + -14 Combine like terms: -1 + -1 = -2 -2 + 6v = v + 3v + -14 Reorder the terms: -2 + 6v = -14 + v + 3v Combine like terms: v + 3v = 4v -2 + 6v = -14 + 4v Solving -2 + 6v = -14 + 4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-4v' to each side of the equation. -2 + 6v + -4v = -14 + 4v + -4v Combine like terms: 6v + -4v = 2v -2 + 2v = -14 + 4v + -4v Combine like terms: 4v + -4v = 0 -2 + 2v = -14 + 0 -2 + 2v = -14 Add '2' to each side of the equation. -2 + 2 + 2v = -14 + 2 Combine like terms: -2 + 2 = 0 0 + 2v = -14 + 2 2v = -14 + 2 Combine like terms: -14 + 2 = -12 2v = -12 Divide each side by '2'. v = -6 Simplifying v = -6
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