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Simplifying -2(v + 2) = -2(9v + -5) + 4v Reorder the terms: -2(2 + v) = -2(9v + -5) + 4v (2 * -2 + v * -2) = -2(9v + -5) + 4v (-4 + -2v) = -2(9v + -5) + 4v Reorder the terms: -4 + -2v = -2(-5 + 9v) + 4v -4 + -2v = (-5 * -2 + 9v * -2) + 4v -4 + -2v = (10 + -18v) + 4v Combine like terms: -18v + 4v = -14v -4 + -2v = 10 + -14v Solving -4 + -2v = 10 + -14v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '14v' to each side of the equation. -4 + -2v + 14v = 10 + -14v + 14v Combine like terms: -2v + 14v = 12v -4 + 12v = 10 + -14v + 14v Combine like terms: -14v + 14v = 0 -4 + 12v = 10 + 0 -4 + 12v = 10 Add '4' to each side of the equation. -4 + 4 + 12v = 10 + 4 Combine like terms: -4 + 4 = 0 0 + 12v = 10 + 4 12v = 10 + 4 Combine like terms: 10 + 4 = 14 12v = 14 Divide each side by '12'. v = 1.166666667 Simplifying v = 1.166666667
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