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Simplifying -2 = 2(v + 4) + -4v Reorder the terms: -2 = 2(4 + v) + -4v -2 = (4 * 2 + v * 2) + -4v -2 = (8 + 2v) + -4v Combine like terms: 2v + -4v = -2v -2 = 8 + -2v Solving -2 = 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. -2 + 2v = 8 + -2v + 2v Combine like terms: -2v + 2v = 0 -2 + 2v = 8 + 0 -2 + 2v = 8 Add '2' to each side of the equation. -2 + 2 + 2v = 8 + 2 Combine like terms: -2 + 2 = 0 0 + 2v = 8 + 2 2v = 8 + 2 Combine like terms: 8 + 2 = 10 2v = 10 Divide each side by '2'. v = 5 Simplifying v = 5
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