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Simplifying 8v + -2 + 2(2v + 2) = -2(v + 5) Reorder the terms: 8v + -2 + 2(2 + 2v) = -2(v + 5) 8v + -2 + (2 * 2 + 2v * 2) = -2(v + 5) 8v + -2 + (4 + 4v) = -2(v + 5) Reorder the terms: -2 + 4 + 8v + 4v = -2(v + 5) Combine like terms: -2 + 4 = 2 2 + 8v + 4v = -2(v + 5) Combine like terms: 8v + 4v = 12v 2 + 12v = -2(v + 5) Reorder the terms: 2 + 12v = -2(5 + v) 2 + 12v = (5 * -2 + v * -2) 2 + 12v = (-10 + -2v) Solving 2 + 12v = -10 + -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. 2 + 12v + 2v = -10 + -2v + 2v Combine like terms: 12v + 2v = 14v 2 + 14v = -10 + -2v + 2v Combine like terms: -2v + 2v = 0 2 + 14v = -10 + 0 2 + 14v = -10 Add '-2' to each side of the equation. 2 + -2 + 14v = -10 + -2 Combine like terms: 2 + -2 = 0 0 + 14v = -10 + -2 14v = -10 + -2 Combine like terms: -10 + -2 = -12 14v = -12 Divide each side by '14'. v = -0.8571428571 Simplifying v = -0.8571428571
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