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Simplifying 2v + 2 + -2(-6v + -3) = 2(v + -3) Reorder the terms: 2v + 2 + -2(-3 + -6v) = 2(v + -3) 2v + 2 + (-3 * -2 + -6v * -2) = 2(v + -3) 2v + 2 + (6 + 12v) = 2(v + -3) Reorder the terms: 2 + 6 + 2v + 12v = 2(v + -3) Combine like terms: 2 + 6 = 8 8 + 2v + 12v = 2(v + -3) Combine like terms: 2v + 12v = 14v 8 + 14v = 2(v + -3) Reorder the terms: 8 + 14v = 2(-3 + v) 8 + 14v = (-3 * 2 + v * 2) 8 + 14v = (-6 + 2v) Solving 8 + 14v = -6 + 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. 8 + 14v + -2v = -6 + 2v + -2v Combine like terms: 14v + -2v = 12v 8 + 12v = -6 + 2v + -2v Combine like terms: 2v + -2v = 0 8 + 12v = -6 + 0 8 + 12v = -6 Add '-8' to each side of the equation. 8 + -8 + 12v = -6 + -8 Combine like terms: 8 + -8 = 0 0 + 12v = -6 + -8 12v = -6 + -8 Combine like terms: -6 + -8 = -14 12v = -14 Divide each side by '12'. v = -1.166666667 Simplifying v = -1.166666667
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