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Simplifying -6v + 42 = -2v + 46 Reorder the terms: 42 + -6v = -2v + 46 Reorder the terms: 42 + -6v = 46 + -2v Solving 42 + -6v = 46 + -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. 42 + -6v + 2v = 46 + -2v + 2v Combine like terms: -6v + 2v = -4v 42 + -4v = 46 + -2v + 2v Combine like terms: -2v + 2v = 0 42 + -4v = 46 + 0 42 + -4v = 46 Add '-42' to each side of the equation. 42 + -42 + -4v = 46 + -42 Combine like terms: 42 + -42 = 0 0 + -4v = 46 + -42 -4v = 46 + -42 Combine like terms: 46 + -42 = 4 -4v = 4 Divide each side by '-4'. v = -1 Simplifying v = -1
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