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Simplifying 12 + -1v = 3v + -12 Reorder the terms: 12 + -1v = -12 + 3v Solving 12 + -1v = -12 + 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 + -1v + -3v = -12 + 3v + -3v Combine like terms: -1v + -3v = -4v 12 + -4v = -12 + 3v + -3v Combine like terms: 3v + -3v = 0 12 + -4v = -12 + 0 12 + -4v = -12 Add '-12' to each side of the equation. 12 + -12 + -4v = -12 + -12 Combine like terms: 12 + -12 = 0 0 + -4v = -12 + -12 -4v = -12 + -12 Combine like terms: -12 + -12 = -24 -4v = -24 Divide each side by '-4'. v = 6 Simplifying v = 6
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