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Simplifying -1 + -3v + 4v = 4v + 2 Combine like terms: -3v + 4v = 1v -1 + 1v = 4v + 2 Reorder the terms: -1 + 1v = 2 + 4v Solving -1 + 1v = 2 + 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. -1 + 1v + -4v = 2 + 4v + -4v Combine like terms: 1v + -4v = -3v -1 + -3v = 2 + 4v + -4v Combine like terms: 4v + -4v = 0 -1 + -3v = 2 + 0 -1 + -3v = 2 Add '1' to each side of the equation. -1 + 1 + -3v = 2 + 1 Combine like terms: -1 + 1 = 0 0 + -3v = 2 + 1 -3v = 2 + 1 Combine like terms: 2 + 1 = 3 -3v = 3 Divide each side by '-3'. v = -1 Simplifying v = -1
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