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Simplifying -2(4v + -2) + 4v = 2(v + 6) Reorder the terms: -2(-2 + 4v) + 4v = 2(v + 6) (-2 * -2 + 4v * -2) + 4v = 2(v + 6) (4 + -8v) + 4v = 2(v + 6) Combine like terms: -8v + 4v = -4v 4 + -4v = 2(v + 6) Reorder the terms: 4 + -4v = 2(6 + v) 4 + -4v = (6 * 2 + v * 2) 4 + -4v = (12 + 2v) Solving 4 + -4v = 12 + 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. 4 + -4v + -2v = 12 + 2v + -2v Combine like terms: -4v + -2v = -6v 4 + -6v = 12 + 2v + -2v Combine like terms: 2v + -2v = 0 4 + -6v = 12 + 0 4 + -6v = 12 Add '-4' to each side of the equation. 4 + -4 + -6v = 12 + -4 Combine like terms: 4 + -4 = 0 0 + -6v = 12 + -4 -6v = 12 + -4 Combine like terms: 12 + -4 = 8 -6v = 8 Divide each side by '-6'. v = -1.333333333 Simplifying v = -1.333333333
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