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Simplifying -1v + 6 = -3v + 8 Reorder the terms: 6 + -1v = -3v + 8 Reorder the terms: 6 + -1v = 8 + -3v Solving 6 + -1v = 8 + -3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '3v' to each side of the equation. 6 + -1v + 3v = 8 + -3v + 3v Combine like terms: -1v + 3v = 2v 6 + 2v = 8 + -3v + 3v Combine like terms: -3v + 3v = 0 6 + 2v = 8 + 0 6 + 2v = 8 Add '-6' to each side of the equation. 6 + -6 + 2v = 8 + -6 Combine like terms: 6 + -6 = 0 0 + 2v = 8 + -6 2v = 8 + -6 Combine like terms: 8 + -6 = 2 2v = 2 Divide each side by '2'. v = 1 Simplifying v = 1
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