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Simplifying 2(v + 4) = (-6)(2v + -2) + 8v Reorder the terms: 2(4 + v) = (-6)(2v + -2) + 8v (4 * 2 + v * 2) = (-6)(2v + -2) + 8v (8 + 2v) = (-6)(2v + -2) + 8v Reorder the terms: 8 + 2v = -6(-2 + 2v) + 8v 8 + 2v = (-2 * -6 + 2v * -6) + 8v 8 + 2v = (12 + -12v) + 8v Combine like terms: -12v + 8v = -4v 8 + 2v = 12 + -4v Solving 8 + 2v = 12 + -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. 8 + 2v + 4v = 12 + -4v + 4v Combine like terms: 2v + 4v = 6v 8 + 6v = 12 + -4v + 4v Combine like terms: -4v + 4v = 0 8 + 6v = 12 + 0 8 + 6v = 12 Add '-8' to each side of the equation. 8 + -8 + 6v = 12 + -8 Combine like terms: 8 + -8 = 0 0 + 6v = 12 + -8 6v = 12 + -8 Combine like terms: 12 + -8 = 4 6v = 4 Divide each side by '6'. v = 0.6666666667 Simplifying v = 0.6666666667
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