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Simplifying v + -5 = 7 + -5v + 3v Reorder the terms: -5 + v = 7 + -5v + 3v Combine like terms: -5v + 3v = -2v -5 + v = 7 + -2v Solving -5 + v = 7 + -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. -5 + v + 2v = 7 + -2v + 2v Combine like terms: v + 2v = 3v -5 + 3v = 7 + -2v + 2v Combine like terms: -2v + 2v = 0 -5 + 3v = 7 + 0 -5 + 3v = 7 Add '5' to each side of the equation. -5 + 5 + 3v = 7 + 5 Combine like terms: -5 + 5 = 0 0 + 3v = 7 + 5 3v = 7 + 5 Combine like terms: 7 + 5 = 12 3v = 12 Divide each side by '3'. v = 4 Simplifying v = 4
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