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Simplifying 3v + -5 = v + 7 Reorder the terms: -5 + 3v = v + 7 Reorder the terms: -5 + 3v = 7 + v Solving -5 + 3v = 7 + v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-1v' to each side of the equation. -5 + 3v + -1v = 7 + v + -1v Combine like terms: 3v + -1v = 2v -5 + 2v = 7 + v + -1v Combine like terms: v + -1v = 0 -5 + 2v = 7 + 0 -5 + 2v = 7 Add '5' to each side of the equation. -5 + 5 + 2v = 7 + 5 Combine like terms: -5 + 5 = 0 0 + 2v = 7 + 5 2v = 7 + 5 Combine like terms: 7 + 5 = 12 2v = 12 Divide each side by '2'. v = 6 Simplifying v = 6
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