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Simplifying -34 + -1v = v + 42 Reorder the terms: -34 + -1v = 42 + v Solving -34 + -1v = 42 + v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-1v' to each side of the equation. -34 + -1v + -1v = 42 + v + -1v Combine like terms: -1v + -1v = -2v -34 + -2v = 42 + v + -1v Combine like terms: v + -1v = 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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