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Simplifying -2(v + 2) = 6v + -6 + 2(3v + 4) Reorder the terms: -2(2 + v) = 6v + -6 + 2(3v + 4) (2 * -2 + v * -2) = 6v + -6 + 2(3v + 4) (-4 + -2v) = 6v + -6 + 2(3v + 4) Reorder the terms: -4 + -2v = 6v + -6 + 2(4 + 3v) -4 + -2v = 6v + -6 + (4 * 2 + 3v * 2) -4 + -2v = 6v + -6 + (8 + 6v) Reorder the terms: -4 + -2v = -6 + 8 + 6v + 6v Combine like terms: -6 + 8 = 2 -4 + -2v = 2 + 6v + 6v Combine like terms: 6v + 6v = 12v -4 + -2v = 2 + 12v Solving -4 + -2v = 2 + 12v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-12v' to each side of the equation. -4 + -2v + -12v = 2 + 12v + -12v Combine like terms: -2v + -12v = -14v -4 + -14v = 2 + 12v + -12v Combine like terms: 12v + -12v = 0 -4 + -14v = 2 + 0 -4 + -14v = 2 Add '4' to each side of the equation. -4 + 4 + -14v = 2 + 4 Combine like terms: -4 + 4 = 0 0 + -14v = 2 + 4 -14v = 2 + 4 Combine like terms: 2 + 4 = 6 -14v = 6 Divide each side by '-14'. v = -0.4285714286 Simplifying v = -0.4285714286
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