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Simplifying -12 + 5v = 2v + -9 Reorder the terms: -12 + 5v = -9 + 2v Solving -12 + 5v = -9 + 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. -12 + 5v + -2v = -9 + 2v + -2v Combine like terms: 5v + -2v = 3v -12 + 3v = -9 + 2v + -2v Combine like terms: 2v + -2v = 0 -12 + 3v = -9 + 0 -12 + 3v = -9 Add '12' to each side of the equation. -12 + 12 + 3v = -9 + 12 Combine like terms: -12 + 12 = 0 0 + 3v = -9 + 12 3v = -9 + 12 Combine like terms: -9 + 12 = 3 3v = 3 Divide each side by '3'. v = 1 Simplifying v = 1
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