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Simplifying -12 = 2(v + -6) + -4v Reorder the terms: -12 = 2(-6 + v) + -4v -12 = (-6 * 2 + v * 2) + -4v -12 = (-12 + 2v) + -4v Combine like terms: 2v + -4v = -2v -12 = -12 + -2v Add '12' to each side of the equation. -12 + 12 = -12 + 12 + -2v Combine like terms: -12 + 12 = 0 0 = -12 + 12 + -2v Combine like terms: -12 + 12 = 0 0 = 0 + -2v 0 = -2v Solving 0 = -2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '2v' to each side of the equation. 0 + 2v = -2v + 2v Remove the zero: 2v = -2v + 2v Combine like terms: -2v + 2v = 0 2v = 0 Divide each side by '2'. v = 0 Simplifying v = 0
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