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Simplifying 3 + -1v + 3 = 1 + -4v + 1 Reorder the terms: 3 + 3 + -1v = 1 + -4v + 1 Combine like terms: 3 + 3 = 6 6 + -1v = 1 + -4v + 1 Reorder the terms: 6 + -1v = 1 + 1 + -4v Combine like terms: 1 + 1 = 2 6 + -1v = 2 + -4v Solving 6 + -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. 6 + -1v + 4v = 2 + -4v + 4v Combine like terms: -1v + 4v = 3v 6 + 3v = 2 + -4v + 4v Combine like terms: -4v + 4v = 0 6 + 3v = 2 + 0 6 + 3v = 2 Add '-6' to each side of the equation. 6 + -6 + 3v = 2 + -6 Combine like terms: 6 + -6 = 0 0 + 3v = 2 + -6 3v = 2 + -6 Combine like terms: 2 + -6 = -4 3v = -4 Divide each side by '3'. v = -1.333333333 Simplifying v = -1.333333333
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