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Simplifying 2v + 71 = 4v + -31 Reorder the terms: 71 + 2v = 4v + -31 Reorder the terms: 71 + 2v = -31 + 4v Solving 71 + 2v = -31 + 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. 71 + 2v + -4v = -31 + 4v + -4v Combine like terms: 2v + -4v = -2v 71 + -2v = -31 + 4v + -4v Combine like terms: 4v + -4v = 0 71 + -2v = -31 + 0 71 + -2v = -31 Add '-71' to each side of the equation. 71 + -71 + -2v = -31 + -71 Combine like terms: 71 + -71 = 0 0 + -2v = -31 + -71 -2v = -31 + -71 Combine like terms: -31 + -71 = -102 -2v = -102 Divide each side by '-2'. v = 51 Simplifying v = 51
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