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Simplifying -34 = v + 42 + -3v Reorder the terms: -34 = 42 + v + -3v Combine like terms: v + -3v = -2v -34 = 42 + -2v Solving -34 = 42 + -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. -34 + 2v = 42 + -2v + 2v Combine like terms: -2v + 2v = 0 -34 + 2v = 42 + 0 -34 + 2v = 42 Add '34' to each side of the equation. -34 + 34 + 2v = 42 + 34 Combine like terms: -34 + 34 = 0 0 + 2v = 42 + 34 2v = 42 + 34 Combine like terms: 42 + 34 = 76 2v = 76 Divide each side by '2'. v = 38 Simplifying v = 38
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