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Simplifying -2(v + 4) = 8v + -8 + 2(3v + 1) Reorder the terms: -2(4 + v) = 8v + -8 + 2(3v + 1) (4 * -2 + v * -2) = 8v + -8 + 2(3v + 1) (-8 + -2v) = 8v + -8 + 2(3v + 1) Reorder the terms: -8 + -2v = 8v + -8 + 2(1 + 3v) -8 + -2v = 8v + -8 + (1 * 2 + 3v * 2) -8 + -2v = 8v + -8 + (2 + 6v) Reorder the terms: -8 + -2v = -8 + 2 + 8v + 6v Combine like terms: -8 + 2 = -6 -8 + -2v = -6 + 8v + 6v Combine like terms: 8v + 6v = 14v -8 + -2v = -6 + 14v Solving -8 + -2v = -6 + 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 = -6 + 14v + -14v Combine like terms: -2v + -14v = -16v -8 + -16v = -6 + 14v + -14v Combine like terms: 14v + -14v = 0 -8 + -16v = -6 + 0 -8 + -16v = -6 Add '8' to each side of the equation. -8 + 8 + -16v = -6 + 8 Combine like terms: -8 + 8 = 0 0 + -16v = -6 + 8 -16v = -6 + 8 Combine like terms: -6 + 8 = 2 -16v = 2 Divide each side by '-16'. v = -0.125 Simplifying v = -0.125
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