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Simplifying 12 = 2(v + -2) + 2v Reorder the terms: 12 = 2(-2 + v) + 2v 12 = (-2 * 2 + v * 2) + 2v 12 = (-4 + 2v) + 2v Combine like terms: 2v + 2v = 4v 12 = -4 + 4v Solving 12 = -4 + 4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-4v' to each side of the equation. 12 + -4v = -4 + 4v + -4v Combine like terms: 4v + -4v = 0 12 + -4v = -4 + 0 12 + -4v = -4 Add '-12' to each side of the equation. 12 + -12 + -4v = -4 + -12 Combine like terms: 12 + -12 = 0 0 + -4v = -4 + -12 -4v = -4 + -12 Combine like terms: -4 + -12 = -16 -4v = -16 Divide each side by '-4'. v = 4 Simplifying v = 4
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