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Simplifying -12 + -2v = -4(v + 4) Reorder the terms: -12 + -2v = -4(4 + v) -12 + -2v = (4 * -4 + v * -4) -12 + -2v = (-16 + -4v) Solving -12 + -2v = -16 + -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 + -2v + 4v = -16 + -4v + 4v Combine like terms: -2v + 4v = 2v -12 + 2v = -16 + -4v + 4v Combine like terms: -4v + 4v = 0 -12 + 2v = -16 + 0 -12 + 2v = -16 Add '12' to each side of the equation. -12 + 12 + 2v = -16 + 12 Combine like terms: -12 + 12 = 0 0 + 2v = -16 + 12 2v = -16 + 12 Combine like terms: -16 + 12 = -4 2v = -4 Divide each side by '2'. v = -2 Simplifying v = -2
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