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Simplifying 2v + -46 = 7v + -46 + -4v Reorder the terms: -46 + 2v = 7v + -46 + -4v Reorder the terms: -46 + 2v = -46 + 7v + -4v Combine like terms: 7v + -4v = 3v -46 + 2v = -46 + 3v Add '46' to each side of the equation. -46 + 46 + 2v = -46 + 46 + 3v Combine like terms: -46 + 46 = 0 0 + 2v = -46 + 46 + 3v 2v = -46 + 46 + 3v Combine like terms: -46 + 46 = 0 2v = 0 + 3v 2v = 3v Solving 2v = 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. 2v + -3v = 3v + -3v Combine like terms: 2v + -3v = -1v -1v = 3v + -3v Combine like terms: 3v + -3v = 0 -1v = 0 Divide each side by '-1'. v = 0 Simplifying v = 0
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