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Simplifying 12 = 2(v + -4) + -4v Reorder the terms: 12 = 2(-4 + v) + -4v 12 = (-4 * 2 + v * 2) + -4v 12 = (-8 + 2v) + -4v Combine like terms: 2v + -4v = -2v 12 = -8 + -2v Solving 12 = -8 + -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. 12 + 2v = -8 + -2v + 2v Combine like terms: -2v + 2v = 0 12 + 2v = -8 + 0 12 + 2v = -8 Add '-12' to each side of the equation. 12 + -12 + 2v = -8 + -12 Combine like terms: 12 + -12 = 0 0 + 2v = -8 + -12 2v = -8 + -12 Combine like terms: -8 + -12 = -20 2v = -20 Divide each side by '2'. v = -10 Simplifying v = -10
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