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Simplifying -2(1 + -2v) = -1(3v + 6) + 3v (1 * -2 + -2v * -2) = -1(3v + 6) + 3v (-2 + 4v) = -1(3v + 6) + 3v Reorder the terms: -2 + 4v = -1(6 + 3v) + 3v -2 + 4v = (6 * -1 + 3v * -1) + 3v -2 + 4v = (-6 + -3v) + 3v Combine like terms: -3v + 3v = 0 -2 + 4v = -6 + 0 -2 + 4v = -6 Solving -2 + 4v = -6 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 4v = -6 + 2 Combine like terms: -2 + 2 = 0 0 + 4v = -6 + 2 4v = -6 + 2 Combine like terms: -6 + 2 = -4 4v = -4 Divide each side by '4'. v = -1 Simplifying v = -1
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