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Simplifying -2(2v + -2) = -4(5 + 3v) Reorder the terms: -2(-2 + 2v) = -4(5 + 3v) (-2 * -2 + 2v * -2) = -4(5 + 3v) (4 + -4v) = -4(5 + 3v) 4 + -4v = (5 * -4 + 3v * -4) 4 + -4v = (-20 + -12v) Solving 4 + -4v = -20 + -12v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '12v' to each side of the equation. 4 + -4v + 12v = -20 + -12v + 12v Combine like terms: -4v + 12v = 8v 4 + 8v = -20 + -12v + 12v Combine like terms: -12v + 12v = 0 4 + 8v = -20 + 0 4 + 8v = -20 Add '-4' to each side of the equation. 4 + -4 + 8v = -20 + -4 Combine like terms: 4 + -4 = 0 0 + 8v = -20 + -4 8v = -20 + -4 Combine like terms: -20 + -4 = -24 8v = -24 Divide each side by '8'. v = -3 Simplifying v = -3
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