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Simplifying -34 = x + 42 + -5v Reorder the terms: -34 = 42 + -5v + x Solving -34 = 42 + -5v + x Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '5v' to each side of the equation. -34 + 5v = 42 + -5v + 5v + x Combine like terms: -5v + 5v = 0 -34 + 5v = 42 + 0 + x -34 + 5v = 42 + x Add '34' to each side of the equation. -34 + 34 + 5v = 42 + 34 + x Combine like terms: -34 + 34 = 0 0 + 5v = 42 + 34 + x 5v = 42 + 34 + x Combine like terms: 42 + 34 = 76 5v = 76 + x Divide each side by '5'. v = 15.2 + 0.2x Simplifying v = 15.2 + 0.2x
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