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Simplifying 2(-1 + -2v) + 2(2v + 1) = 3v + v (-1 * 2 + -2v * 2) + 2(2v + 1) = 3v + v (-2 + -4v) + 2(2v + 1) = 3v + v Reorder the terms: -2 + -4v + 2(1 + 2v) = 3v + v -2 + -4v + (1 * 2 + 2v * 2) = 3v + v -2 + -4v + (2 + 4v) = 3v + v Reorder the terms: -2 + 2 + -4v + 4v = 3v + v Combine like terms: -2 + 2 = 0 0 + -4v + 4v = 3v + v -4v + 4v = 3v + v Combine like terms: -4v + 4v = 0 0 = 3v + v Combine like terms: 3v + v = 4v 0 = 4v Solving 0 = 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. 0 + -4v = 4v + -4v Remove the zero: -4v = 4v + -4v Combine like terms: 4v + -4v = 0 -4v = 0 Divide each side by '-4'. v = 0 Simplifying v = 0
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