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