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Simplifying 2v + -6 + 2(6v + 1) = -2(v + 3) Reorder the terms: 2v + -6 + 2(1 + 6v) = -2(v + 3) 2v + -6 + (1 * 2 + 6v * 2) = -2(v + 3) 2v + -6 + (2 + 12v) = -2(v + 3) Reorder the terms: -6 + 2 + 2v + 12v = -2(v + 3) Combine like terms: -6 + 2 = -4 -4 + 2v + 12v = -2(v + 3) Combine like terms: 2v + 12v = 14v -4 + 14v = -2(v + 3) Reorder the terms: -4 + 14v = -2(3 + v) -4 + 14v = (3 * -2 + v * -2) -4 + 14v = (-6 + -2v) Solving -4 + 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. -4 + 14v + 2v = -6 + -2v + 2v Combine like terms: 14v + 2v = 16v -4 + 16v = -6 + -2v + 2v Combine like terms: -2v + 2v = 0 -4 + 16v = -6 + 0 -4 + 16v = -6 Add '4' to each side of the equation. -4 + 4 + 16v = -6 + 4 Combine like terms: -4 + 4 = 0 0 + 16v = -6 + 4 16v = -6 + 4 Combine like terms: -6 + 4 = -2 16v = -2 Divide each side by '16'. v = -0.125 Simplifying v = -0.125
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