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Simplifying 2 + 2(2v + -1) = -2(7v + -6) + 2v Reorder the terms: 2 + 2(-1 + 2v) = -2(7v + -6) + 2v 2 + (-1 * 2 + 2v * 2) = -2(7v + -6) + 2v 2 + (-2 + 4v) = -2(7v + -6) + 2v Combine like terms: 2 + -2 = 0 0 + 4v = -2(7v + -6) + 2v 4v = -2(7v + -6) + 2v Reorder the terms: 4v = -2(-6 + 7v) + 2v 4v = (-6 * -2 + 7v * -2) + 2v 4v = (12 + -14v) + 2v Combine like terms: -14v + 2v = -12v 4v = 12 + -12v Solving 4v = 12 + -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. 4v + 12v = 12 + -12v + 12v Combine like terms: 4v + 12v = 16v 16v = 12 + -12v + 12v Combine like terms: -12v + 12v = 0 16v = 12 + 0 16v = 12 Divide each side by '16'. v = 0.75 Simplifying v = 0.75
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