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Simplifying -34 = v + v + 42 + -5v Reorder the terms: -34 = 42 + v + v + -5v Combine like terms: v + v = 2v -34 = 42 + 2v + -5v Combine like terms: 2v + -5v = -3v -34 = 42 + -3v Solving -34 = 42 + -3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '3v' to each side of the equation. -34 + 3v = 42 + -3v + 3v Combine like terms: -3v + 3v = 0 -34 + 3v = 42 + 0 -34 + 3v = 42 Add '34' to each side of the equation. -34 + 34 + 3v = 42 + 34 Combine like terms: -34 + 34 = 0 0 + 3v = 42 + 34 3v = 42 + 34 Combine like terms: 42 + 34 = 76 3v = 76 Divide each side by '3'. v = 25.33333333 Simplifying v = 25.33333333
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