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Simplifying -2(v + 4) = 2v + -8 + 6(2v + 2) Reorder the terms: -2(4 + v) = 2v + -8 + 6(2v + 2) (4 * -2 + v * -2) = 2v + -8 + 6(2v + 2) (-8 + -2v) = 2v + -8 + 6(2v + 2) Reorder the terms: -8 + -2v = 2v + -8 + 6(2 + 2v) -8 + -2v = 2v + -8 + (2 * 6 + 2v * 6) -8 + -2v = 2v + -8 + (12 + 12v) Reorder the terms: -8 + -2v = -8 + 12 + 2v + 12v Combine like terms: -8 + 12 = 4 -8 + -2v = 4 + 2v + 12v Combine like terms: 2v + 12v = 14v -8 + -2v = 4 + 14v Solving -8 + -2v = 4 + 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. -8 + -2v + -14v = 4 + 14v + -14v Combine like terms: -2v + -14v = -16v -8 + -16v = 4 + 14v + -14v Combine like terms: 14v + -14v = 0 -8 + -16v = 4 + 0 -8 + -16v = 4 Add '8' to each side of the equation. -8 + 8 + -16v = 4 + 8 Combine like terms: -8 + 8 = 0 0 + -16v = 4 + 8 -16v = 4 + 8 Combine like terms: 4 + 8 = 12 -16v = 12 Divide each side by '-16'. v = -0.75 Simplifying v = -0.75
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