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Simplifying v + -5 = 7 + 3v Reorder the terms: -5 + v = 7 + 3v Solving -5 + v = 7 + 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. -5 + v + -3v = 7 + 3v + -3v Combine like terms: v + -3v = -2v -5 + -2v = 7 + 3v + -3v Combine like terms: 3v + -3v = 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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