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Simplifying 2v + -3 = 5v + 12 Reorder the terms: -3 + 2v = 5v + 12 Reorder the terms: -3 + 2v = 12 + 5v Solving -3 + 2v = 12 + 5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-5v' to each side of the equation. -3 + 2v + -5v = 12 + 5v + -5v Combine like terms: 2v + -5v = -3v -3 + -3v = 12 + 5v + -5v Combine like terms: 5v + -5v = 0 -3 + -3v = 12 + 0 -3 + -3v = 12 Add '3' to each side of the equation. -3 + 3 + -3v = 12 + 3 Combine like terms: -3 + 3 = 0 0 + -3v = 12 + 3 -3v = 12 + 3 Combine like terms: 12 + 3 = 15 -3v = 15 Divide each side by '-3'. v = -5 Simplifying v = -5
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