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Simplifying -2v + -1v + 12 = -3 + 6v Reorder the terms: 12 + -2v + -1v = -3 + 6v Combine like terms: -2v + -1v = -3v 12 + -3v = -3 + 6v Solving 12 + -3v = -3 + 6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6v' to each side of the equation. 12 + -3v + -6v = -3 + 6v + -6v Combine like terms: -3v + -6v = -9v 12 + -9v = -3 + 6v + -6v Combine like terms: 6v + -6v = 0 12 + -9v = -3 + 0 12 + -9v = -3 Add '-12' to each side of the equation. 12 + -12 + -9v = -3 + -12 Combine like terms: 12 + -12 = 0 0 + -9v = -3 + -12 -9v = -3 + -12 Combine like terms: -3 + -12 = -15 -9v = -15 Divide each side by '-9'. v = 1.666666667 Simplifying v = 1.666666667
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