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Simplifying -2v + -1v + 12 = -3v + 6v Reorder the terms: 12 + -2v + -1v = -3v + 6v Combine like terms: -2v + -1v = -3v 12 + -3v = -3v + 6v Combine like terms: -3v + 6v = 3v 12 + -3v = 3v Solving 12 + -3v = 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. 12 + -3v + -3v = 3v + -3v Combine like terms: -3v + -3v = -6v 12 + -6v = 3v + -3v Combine like terms: 3v + -3v = 0 12 + -6v = 0 Add '-12' to each side of the equation. 12 + -12 + -6v = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -6v = 0 + -12 -6v = 0 + -12 Combine like terms: 0 + -12 = -12 -6v = -12 Divide each side by '-6'. v = 2 Simplifying v = 2
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