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Simplifying 2 + 3v = 4v + 7 Reorder the terms: 2 + 3v = 7 + 4v Solving 2 + 3v = 7 + 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. 2 + 3v + -4v = 7 + 4v + -4v Combine like terms: 3v + -4v = -1v 2 + -1v = 7 + 4v + -4v Combine like terms: 4v + -4v = 0 2 + -1v = 7 + 0 2 + -1v = 7 Add '-2' to each side of the equation. 2 + -2 + -1v = 7 + -2 Combine like terms: 2 + -2 = 0 0 + -1v = 7 + -2 -1v = 7 + -2 Combine like terms: 7 + -2 = 5 -1v = 5 Divide each side by '-1'. v = -5 Simplifying v = -5
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