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Simplifying 2v + -42 = 18 + -4v Reorder the terms: -42 + 2v = 18 + -4v Solving -42 + 2v = 18 + -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. -42 + 2v + 4v = 18 + -4v + 4v Combine like terms: 2v + 4v = 6v -42 + 6v = 18 + -4v + 4v Combine like terms: -4v + 4v = 0 -42 + 6v = 18 + 0 -42 + 6v = 18 Add '42' to each side of the equation. -42 + 42 + 6v = 18 + 42 Combine like terms: -42 + 42 = 0 0 + 6v = 18 + 42 6v = 18 + 42 Combine like terms: 18 + 42 = 60 6v = 60 Divide each side by '6'. v = 10 Simplifying v = 10
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